Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210ci |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
6462720 |
Modular degree for the optimal curve |
Δ |
-3266979427123200 = -1 · 217 · 39 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34804973,79041990997] |
[a1,a2,a3,a4,a6] |
Generators |
[3247:14360:1] |
Generators of the group modulo torsion |
j |
-4676825213054616231/3276800 |
j-invariant |
L |
10.082264793895 |
L(r)(E,1)/r! |
Ω |
0.27686126040559 |
Real period |
R |
0.267766967047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210r1 123210s1 |
Quadratic twists by: -3 37 |