Atkin-Lehner |
2- 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530dg |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
2912000 |
Modular degree for the optimal curve |
Δ |
-829239937361510400 = -1 · 226 · 32 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1651350,-818095068] |
[a1,a2,a3,a4,a6] |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
3.4623400688346 |
L(r)(E,1)/r! |
Ω |
0.066583471138239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930j1 |
Quadratic twists by: -11 |