Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cr |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12779520 |
Modular degree for the optimal curve |
Δ |
-4.3212661909128E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33245004,-74454642704] |
[a1,a2,a3,a4,a6] |
j |
-616966948/6561 |
j-invariant |
L |
1.0053391970526 |
L(r)(E,1)/r! |
Ω |
0.03141685471901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344gb1 12168h1 32448bn1 97344co1 |
Quadratic twists by: -4 8 -3 13 |