Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
20680g |
Isogeny class |
Conductor |
20680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-18817145600000 = -1 · 211 · 55 · 113 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10656,-468500] |
[a1,a2,a3,a4,a6] |
j |
-65345720452418/9188059375 |
j-invariant |
L |
1.3987604623014 |
L(r)(E,1)/r! |
Ω |
0.2331267437169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41360b1 103400f1 |
Quadratic twists by: -4 5 |