Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34104j |
Isogeny class |
Conductor |
34104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
2753420544 = 28 · 32 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1745,28533] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:174:1] |
Generators of the group modulo torsion |
j |
46873007104/219501 |
j-invariant |
L |
5.2789537497016 |
L(r)(E,1)/r! |
Ω |
1.4426129622194 |
Real period |
R |
0.15247083729178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208z1 102312bi1 34104l1 |
Quadratic twists by: -4 -3 -7 |