Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79430k |
Isogeny class |
Conductor |
79430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
7259520736000 = 28 · 53 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-975556,370792720] |
[a1,a2,a3,a4,a6] |
Generators |
[570:-280:1] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
10.927560982877 |
L(r)(E,1)/r! |
Ω |
0.56508379846513 |
Real period |
R |
2.4172434711579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470b1 |
Quadratic twists by: 13 |