Atkin-Lehner |
3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279b |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
542320389503807733 = 36 · 75 · 13 · 237 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- -5 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-205338,-5153938] |
[a1,a2,a3,a4,a6] |
Generators |
[4980:349933:1] |
Generators of the group modulo torsion |
j |
957489037049050624000/542320389503807733 |
j-invariant |
L |
1.5762748767532 |
L(r)(E,1)/r! |
Ω |
0.2419440607704 |
Real period |
R |
0.093071978924973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464bl1 18837h1 43953bb1 81627h1 |
Quadratic twists by: -4 -3 -7 13 |