Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
119560u |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
77194836046720000 = 210 · 54 · 711 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -5 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173280,24275600] |
[a1,a2,a3,a4,a6] |
Generators |
[705:120050:27] [160:820:1] |
Generators of the group modulo torsion |
j |
4776209186116/640766875 |
j-invariant |
L |
14.012251777561 |
L(r)(E,1)/r! |
Ω |
0.33089573298938 |
Real period |
R |
1.3233258226889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17080g1 |
Quadratic twists by: -7 |