Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bc |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
1304100000000 = 28 · 34 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2716908,-1724601312] |
[a1,a2,a3,a4,a6] |
Generators |
[30024:5194464:1] |
Generators of the group modulo torsion |
j |
554483565352358224/326025 |
j-invariant |
L |
8.3009816694217 |
L(r)(E,1)/r! |
Ω |
0.11759282078422 |
Real period |
R |
8.8238610276297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320m1 |
Quadratic twists by: 5 |