Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
35650h |
Isogeny class |
Conductor |
35650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-94294250000 = -1 · 24 · 56 · 233 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1112,4281] |
[a1,a2,a3,a4,a6] |
Generators |
[5:97:1] |
Generators of the group modulo torsion |
j |
9731810375/6034832 |
j-invariant |
L |
7.0194893836939 |
L(r)(E,1)/r! |
Ω |
0.6611699766297 |
Real period |
R |
1.327096214251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1426c1 |
Quadratic twists by: 5 |