Atkin-Lehner |
3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239o |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
31927232673 = 33 · 76 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-277047,-56150928] |
[a1,a2,a3,a4,a6] |
Generators |
[921:21222:1] |
Generators of the group modulo torsion |
j |
19989223566735457/271377 |
j-invariant |
L |
5.5341006565336 |
L(r)(E,1)/r! |
Ω |
0.20809477891419 |
Real period |
R |
4.4323558438247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1311a1 |
Quadratic twists by: -7 |