Atkin-Lehner |
5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
93925u |
Isogeny class |
Conductor |
93925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
122573592578125 = 58 · 13 · 176 |
Discriminant |
Eigenvalues |
0 -1 5- 4 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-24083,1344318] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1589:1] |
Generators of the group modulo torsion |
j |
163840/13 |
j-invariant |
L |
5.4671409891297 |
L(r)(E,1)/r! |
Ω |
0.5749725999739 |
Real period |
R |
2.3771310953598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93925a1 325a1 |
Quadratic twists by: 5 17 |