Atkin-Lehner |
2- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720z |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1280640 |
Modular degree for the optimal curve |
Δ |
29670400000 = 213 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- 4 -4 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-750667,-250333574] |
[a1,a2,a3,a4,a6] |
Generators |
[-13506:10:27] |
Generators of the group modulo torsion |
j |
11421042222518756001/7243750 |
j-invariant |
L |
4.1976878867296 |
L(r)(E,1)/r! |
Ω |
0.16219509768863 |
Real period |
R |
2.588048556454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590r1 |
Quadratic twists by: -4 |