Atkin-Lehner |
2- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91630bz |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-169033189001600 = -1 · 27 · 52 · 710 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108095,-13702375] |
[a1,a2,a3,a4,a6] |
Generators |
[3046:3371:8] |
Generators of the group modulo torsion |
j |
-494493264769/598400 |
j-invariant |
L |
14.251851951278 |
L(r)(E,1)/r! |
Ω |
0.13163962232884 |
Real period |
R |
7.7331536437088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000221 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630bl1 |
Quadratic twists by: -7 |