Atkin-Lehner |
5- 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59675l |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-64747375 = -1 · 53 · 72 · 11 · 312 |
Discriminant |
Eigenvalues |
1 -2 5- 7+ 11+ 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4,-387] |
[a1,a2,a3,a4,a6] |
Generators |
[11:26:1] [118:371:8] |
Generators of the group modulo torsion |
j |
79507/517979 |
j-invariant |
L |
8.1226710999568 |
L(r)(E,1)/r! |
Ω |
0.90738509837773 |
Real period |
R |
4.4758675861501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59675r1 |
Quadratic twists by: 5 |