Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37312bb |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-7411994771456 = -1 · 214 · 115 · 532 |
Discriminant |
Eigenvalues |
2- -1 -3 2 11- 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275797,55840589] |
[a1,a2,a3,a4,a6] |
Generators |
[284:583:1] |
Generators of the group modulo torsion |
j |
-141603491201155072/452392259 |
j-invariant |
L |
2.9823105001341 |
L(r)(E,1)/r! |
Ω |
0.64860423310137 |
Real period |
R |
0.45980435339954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312c1 9328i1 |
Quadratic twists by: -4 8 |