Atkin-Lehner |
2- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
92120q |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
6193043360000 = 28 · 54 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7007,191394] |
[a1,a2,a3,a4,a6] |
j |
1263257424/205625 |
j-invariant |
L |
2.8840642124366 |
L(r)(E,1)/r! |
Ω |
0.72101604466139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13160d1 |
Quadratic twists by: -7 |