Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56056h |
Isogeny class |
Conductor |
56056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18944 |
Modular degree for the optimal curve |
Δ |
50226176 = 210 · 73 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11- 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352,-2640] |
[a1,a2,a3,a4,a6] |
Generators |
[-668:155:64] |
Generators of the group modulo torsion |
j |
13771804/143 |
j-invariant |
L |
5.2499288310476 |
L(r)(E,1)/r! |
Ω |
1.1026393532555 |
Real period |
R |
4.7612384008815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112112f1 56056j1 |
Quadratic twists by: -4 -7 |