Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776u |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
93120 |
Modular degree for the optimal curve |
Δ |
-18886656 = -1 · 212 · 3 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -4 5 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21349,-1207789] |
[a1,a2,a3,a4,a6] |
Generators |
[10591930146815217389122:150405880383830288299149:36652696436442941947] |
Generators of the group modulo torsion |
j |
-262734266478592/4611 |
j-invariant |
L |
7.1004771563833 |
L(r)(E,1)/r! |
Ω |
0.19748016392422 |
Real period |
R |
35.955394280045 |
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 |
4611b1 |
Quadratic twists by: -4 |