Atkin-Lehner |
2+ 3+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482k |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
354227772272158512 = 24 · 34 · 714 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1707136,-858753776] |
[a1,a2,a3,a4,a6] |
Generators |
[-749:1009:1] |
Generators of the group modulo torsion |
j |
4676707755826542073/3010886384688 |
j-invariant |
L |
2.3494883539114 |
L(r)(E,1)/r! |
Ω |
0.13208371463545 |
Real period |
R |
4.4469682436904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926v3 |
Quadratic twists by: -7 |