Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bu |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
9.2716045065182E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113059661,462640495043] |
[a1,a2,a3,a4,a6] |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
2.7012177832882 |
L(r)(E,1)/r! |
Ω |
0.1227826265131 |
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 |
57330cv1 95550dv1 2730bc1 |
Quadratic twists by: -3 5 -7 |