Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600y |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
53603825625000000 = 26 · 36 · 510 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-277258,-54984488] |
[a1,a2,a3,a4,a6] |
j |
20034997696/455625 |
j-invariant |
L |
3.3334947162561 |
L(r)(E,1)/r! |
Ω |
0.20834338306006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600hg1 23520bx1 2400l1 |
Quadratic twists by: -4 5 -7 |