Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336l |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
16214016 = 211 · 3 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-276] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] |
Generators of the group modulo torsion |
j |
48275138/7917 |
j-invariant |
L |
3.2444028762936 |
L(r)(E,1)/r! |
Ω |
1.5408409060608 |
Real period |
R |
2.1056053635663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672u1 |
Quadratic twists by: -4 |