Atkin-Lehner |
3+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78351a |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
1201314341699938557 = 34 · 78 · 137 · 41 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ -1 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-484773,118891730] |
[a1,a2,a3,a4,a6] |
Generators |
[1556:55941:1] |
Generators of the group modulo torsion |
j |
2185523888128000/208387824957 |
j-invariant |
L |
3.9375823677385 |
L(r)(E,1)/r! |
Ω |
0.26603288902003 |
Real period |
R |
7.4005555921744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78351p1 |
Quadratic twists by: -7 |