Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bd |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
65208157470720 = 220 · 37 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170376,-27008784] |
[a1,a2,a3,a4,a6] |
Generators |
[34105236:-926830592:35937] |
Generators of the group modulo torsion |
j |
133533910339799689/15919960320 |
j-invariant |
L |
5.3106032465476 |
L(r)(E,1)/r! |
Ω |
0.23499052126193 |
Real period |
R |
11.299611785048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998487853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510f1 |
Quadratic twists by: -4 |