Atkin-Lehner |
2+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720a |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55040 |
Modular degree for the optimal curve |
Δ |
-6292160 = -1 · 26 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -3 -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178,-922] |
[a1,a2,a3,a4,a6] |
Generators |
[489474:4423645:5832] |
Generators of the group modulo torsion |
j |
-9745491456/98315 |
j-invariant |
L |
10.859695610718 |
L(r)(E,1)/r! |
Ω |
0.65313558286808 |
Real period |
R |
8.3135078241561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720g1 59360g1 |
Quadratic twists by: -4 8 |