Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bj |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
445834362639666 = 2 · 3 · 72 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100559,-12239992] |
[a1,a2,a3,a4,a6] |
Generators |
[-3578148:5768333:19683] |
Generators of the group modulo torsion |
j |
815730721/3234 |
j-invariant |
L |
5.4722070559774 |
L(r)(E,1)/r! |
Ω |
0.26816272030861 |
Real period |
R |
10.20314652197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078cy1 |
Quadratic twists by: 13 |