Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cb |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
-4.421828566057E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20555920,-37264385600] |
[a1,a2,a3,a4,a6] |
j |
-443321577260160665089/20407334400000000 |
j-invariant |
L |
4.5256307362441 |
L(r)(E,1)/r! |
Ω |
0.035356504036452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bm1 126960bl1 |
Quadratic twists by: -4 -23 |