Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296t |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1987160408064 = -1 · 215 · 310 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 1 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104,-67856] |
[a1,a2,a3,a4,a6] |
Generators |
[42:94:1] [130:1458:1] |
Generators of the group modulo torsion |
j |
30080231/485146584 |
j-invariant |
L |
7.3533274902769 |
L(r)(E,1)/r! |
Ω |
0.38273852690126 |
Real period |
R |
4.8031011862147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162i1 |
Quadratic twists by: -4 |