Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cz |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-69160728379392 = -1 · 214 · 312 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6703,342063] |
[a1,a2,a3,a4,a6] |
Generators |
[7:624:1] |
Generators of the group modulo torsion |
j |
2032575274928/4221235863 |
j-invariant |
L |
11.121162478899 |
L(r)(E,1)/r! |
Ω |
0.42704571638149 |
Real period |
R |
1.0850870296128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312l1 29328b1 |
Quadratic twists by: -4 8 |