Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bs |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
512393960243200000 = 217 · 55 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203856,-8373100] |
[a1,a2,a3,a4,a6] |
j |
5668315687/3100000 |
j-invariant |
L |
1.9198441723479 |
L(r)(E,1)/r! |
Ω |
0.23998058739105 |
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 |
15190y1 121520cm1 |
Quadratic twists by: -4 -7 |