Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304i |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-95543525376 = -1 · 215 · 35 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 1 5 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97800,11739636] |
[a1,a2,a3,a4,a6] |
Generators |
[174:144:1] |
Generators of the group modulo torsion |
j |
-25257174755560201/23326056 |
j-invariant |
L |
8.8339354040201 |
L(r)(E,1)/r! |
Ω |
0.89383322242769 |
Real period |
R |
0.24708008111483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538b1 |
Quadratic twists by: -4 |