Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086f |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
636840201451052088 = 23 · 310 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45404344116,-3723856178998536] |
[a1,a2,a3,a4,a6] |
Generators |
[-2936947434036012290436593708626955118152528569208132210969967565147830806625250388452582600502013:1468463095900659899407692917503682035834340569081355113119220308825219866728521397577296322914749:23873108957250016856467382725448857345315862694172131813306676736158655978011688529897893839] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
5.8876899344987 |
L(r)(E,1)/r! |
Ω |
0.010342492224225 |
Real period |
R |
142.31796860112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362bd6 3906h5 |
Quadratic twists by: -3 -31 |