Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ba |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
721638370640888064 = 28 · 310 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284151,41575030] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2430:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
4.2087170661331 |
L(r)(E,1)/r! |
Ω |
0.26559623251323 |
Real period |
R |
3.9615745136293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008486 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45864n2 30576v2 13104v2 |
Quadratic twists by: -4 -3 -7 |