Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110ct |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
1909096218626688000 = 210 · 37 · 53 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-330136521,2308783946265] |
[a1,a2,a3,a4,a6] |
Generators |
[9804:115491:1] |
Generators of the group modulo torsion |
j |
98610250747761380828647/47309184000 |
j-invariant |
L |
8.6883992718717 |
L(r)(E,1)/r! |
Ω |
0.15989563678057 |
Real period |
R |
0.77625626375597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cr1 95550o1 19110bz1 |
Quadratic twists by: -3 5 -7 |