Atkin-Lehner |
2+ 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776d |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-230889148272 = -1 · 24 · 311 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 3 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,-25281] |
[a1,a2,a3,a4,a6] |
Generators |
[265:4293:1] |
Generators of the group modulo torsion |
j |
-4219911328000/14430571767 |
j-invariant |
L |
7.8216140708436 |
L(r)(E,1)/r! |
Ω |
0.40651619809326 |
Real period |
R |
0.87457256067345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36888d1 |
Quadratic twists by: -4 |