Atkin-Lehner |
2+ 3- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30798i |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
2356894068192 = 25 · 316 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 3 3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21078,-1170284] |
[a1,a2,a3,a4,a6] |
Generators |
[-690:523:8] |
Generators of the group modulo torsion |
j |
1420679043215713/3233050848 |
j-invariant |
L |
4.0080427351313 |
L(r)(E,1)/r! |
Ω |
0.39627860370225 |
Real period |
R |
5.0571021216968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266d1 |
Quadratic twists by: -3 |