Atkin-Lehner |
2- 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624u |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
289872 = 24 · 33 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-672,-6705] |
[a1,a2,a3,a4,a6] |
Generators |
[33:84:1] [177:2328:1] |
Generators of the group modulo torsion |
j |
77686898688/671 |
j-invariant |
L |
7.2544704311417 |
L(r)(E,1)/r! |
Ω |
0.9376860639171 |
Real period |
R |
15.473132660968 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24156c1 96624ba1 |
Quadratic twists by: -4 -3 |