Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
95648i |
Isogeny class |
Conductor |
95648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
205767159808 = 212 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -5 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-13553] |
[a1,a2,a3,a4,a6] |
Generators |
[51:196:1] |
Generators of the group modulo torsion |
j |
1000000/427 |
j-invariant |
L |
6.9735290365259 |
L(r)(E,1)/r! |
Ω |
0.78043508671663 |
Real period |
R |
1.1169297028491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95648j1 13664e1 |
Quadratic twists by: -4 -7 |