Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bf |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
25323947250000 = 24 · 3 · 56 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12021,441804] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10437:1] |
Generators of the group modulo torsion |
j |
102064193536/13453125 |
j-invariant |
L |
7.3958090615598 |
L(r)(E,1)/r! |
Ω |
0.64608561101237 |
Real period |
R |
3.815701232921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220e1 |
Quadratic twists by: -7 |