Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736q |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-4481750078208 = -1 · 28 · 32 · 137 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -5 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3831,43965] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1014:1] |
Generators of the group modulo torsion |
j |
5030912/3627 |
j-invariant |
L |
3.2382619381004 |
L(r)(E,1)/r! |
Ω |
0.49263676494217 |
Real period |
R |
0.41083284512218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000364556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9672a1 |
Quadratic twists by: 13 |