Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bn |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3490498587624048 = -1 · 24 · 32 · 73 · 114 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16397,2953784] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:1780:1] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
4.6957428807308 |
L(r)(E,1)/r! |
Ω |
0.3824462895307 |
Real period |
R |
1.0231813391053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462f1 |
Quadratic twists by: 13 |