Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bd |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-48300000000 = -1 · 28 · 3 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,10563] |
[a1,a2,a3,a4,a6] |
Generators |
[23:150:1] |
Generators of the group modulo torsion |
j |
-1024/12075 |
j-invariant |
L |
9.2745855271278 |
L(r)(E,1)/r! |
Ω |
0.90425202040163 |
Real period |
R |
1.2820797353103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19320n1 |
Quadratic twists by: 5 |