Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fn |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-1.9096647016144E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1900236,21049193360] |
[a1,a2,a3,a4,a6] |
Generators |
[22403771:1876775589:12167] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
6.3605772293223 |
L(r)(E,1)/r! |
Ω |
0.0821147644354 |
Real period |
R |
9.6824506024784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041322 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ci1 24336bs1 32448cg1 7488bt1 |
Quadratic twists by: -4 8 -3 13 |