Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
7434h |
Isogeny class |
Conductor |
7434 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
46464 |
Modular degree for the optimal curve |
Δ |
-1564728827848704 = -1 · 211 · 312 · 7 · 593 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2389,-1903237] |
[a1,a2,a3,a4,a6] |
j |
2069259936407/2146404427776 |
j-invariant |
L |
4.8762095414967 |
L(r)(E,1)/r! |
Ω |
0.22164588824985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59472bg1 2478c1 52038br1 |
Quadratic twists by: -4 -3 -7 |