Atkin-Lehner |
2- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96628i |
Isogeny class |
Conductor |
96628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-1485997510554368 = -1 · 28 · 77 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8624,-1828876] |
[a1,a2,a3,a4,a6] |
j |
2355167232/49338947 |
j-invariant |
L |
2.7845640714085 |
L(r)(E,1)/r! |
Ω |
0.23204702694699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804g1 |
Quadratic twists by: -7 |