Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29624m |
Isogeny class |
Conductor |
29624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
3227665569341696 = 28 · 7 · 239 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44612,2368960] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1970:1] |
Generators of the group modulo torsion |
j |
21296/7 |
j-invariant |
L |
3.9229988097277 |
L(r)(E,1)/r! |
Ω |
0.41305818914226 |
Real period |
R |
4.7487241662901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59248n1 29624o1 |
Quadratic twists by: -4 -23 |