Atkin-Lehner |
2- 3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942m |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
276 |
Product of Tamagawa factors cp |
deg |
10174464 |
Modular degree for the optimal curve |
Δ |
-2.8794750543486E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- -1 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3332945776,-74062545049903] |
[a1,a2,a3,a4,a6] |
j |
-4094571474826687777010284724629249/28794750543485535780864 |
j-invariant |
L |
2.742026065597 |
L(r)(E,1)/r! |
Ω |
0.0099348770492644 |
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 |
56826f1 |
Quadratic twists by: -3 |