Atkin-Lehner |
2+ 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286d |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
686400 |
Modular degree for the optimal curve |
Δ |
5715210331414528 = 213 · 76 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52505,-2870276] |
[a1,a2,a3,a4,a6] |
Generators |
[-4556:47857:64] |
Generators of the group modulo torsion |
j |
136058465999737/48578486272 |
j-invariant |
L |
7.7841531920633 |
L(r)(E,1)/r! |
Ω |
0.3247187399991 |
Real period |
R |
5.9929965649369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414a1 |
Quadratic twists by: -7 |