Atkin-Lehner |
2- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97498k |
Isogeny class |
Conductor |
97498 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
281600 |
Modular degree for the optimal curve |
Δ |
-141059095540736 = -1 · 210 · 29 · 416 |
Discriminant |
Eigenvalues |
2- 1 1 2 3 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8370,490244] |
[a1,a2,a3,a4,a6] |
Generators |
[-1140:7294:27] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
14.793913008201 |
L(r)(E,1)/r! |
Ω |
0.40339975887276 |
Real period |
R |
1.8336541724756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58b1 |
Quadratic twists by: 41 |