Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
76368p |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
5278464 |
Modular degree for the optimal curve |
Δ |
-3.8463160374589E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 3 1 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3471176,9102744020] |
[a1,a2,a3,a4,a6] |
Generators |
[4426:846369:8] |
Generators of the group modulo torsion |
j |
1129258952402711594183/9390420013327481358 |
j-invariant |
L |
8.2105821467639 |
L(r)(E,1)/r! |
Ω |
0.084216958237528 |
Real period |
R |
0.84045876341179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995671 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546c1 |
Quadratic twists by: -4 |