Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246br |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-7.2261589840753E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,686047,345423345] |
[a1,a2,a3,a4,a6] |
Generators |
[575:30204:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
7.1217074975331 |
L(r)(E,1)/r! |
Ω |
0.13436420940339 |
Real period |
R |
0.220845873849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968dz1 5082h1 106722gn1 15246k1 |
Quadratic twists by: -4 -3 -7 -11 |