Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078l |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2196480 |
Modular degree for the optimal curve |
Δ |
-6.6152696958768E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,852940,247746972] |
[a1,a2,a3,a4,a6] |
Generators |
[-585637:3013568:2197] |
Generators of the group modulo torsion |
j |
6471250197875/6238172556 |
j-invariant |
L |
3.7953605289232 |
L(r)(E,1)/r! |
Ω |
0.1285992418233 |
Real period |
R |
7.3782715823546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078cm1 |
Quadratic twists by: 13 |