Atkin-Lehner |
2- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22940a |
Isogeny class |
Conductor |
22940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83232 |
Modular degree for the optimal curve |
Δ |
2528600498000 = 24 · 53 · 314 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56721,5180104] |
[a1,a2,a3,a4,a6] |
Generators |
[135:37:1] |
Generators of the group modulo torsion |
j |
1261371525470961664/158037531125 |
j-invariant |
L |
2.959423729936 |
L(r)(E,1)/r! |
Ω |
0.78249153646523 |
Real period |
R |
1.2606840210714 |
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 |
91760g1 114700d1 |
Quadratic twists by: -4 5 |