Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
90024f |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-68398439581296 = -1 · 24 · 34 · 116 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 11- -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16980,-934371] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:33759:8] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
7.4592613051582 |
L(r)(E,1)/r! |
Ω |
0.207647540535 |
Real period |
R |
1.4967793645689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
744f1 |
Quadratic twists by: -11 |