Atkin-Lehner |
2+ 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350v |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-317709700000000 = -1 · 28 · 58 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -7 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10326,947048] |
[a1,a2,a3,a4,a6] |
Generators |
[2:961:1] [101:917:1] |
Generators of the group modulo torsion |
j |
-311673285625/813336832 |
j-invariant |
L |
5.5678765399382 |
L(r)(E,1)/r! |
Ω |
0.47990427844057 |
Real period |
R |
0.48341901901043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000014143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bw1 |
Quadratic twists by: 5 |