Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bj |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
1607609025000000 = 26 · 312 · 58 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46425,-3332000] |
[a1,a2,a3,a4,a6] |
Generators |
[8915:841500:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
6.8959850064034 |
L(r)(E,1)/r! |
Ω |
0.32839996453649 |
Real period |
R |
5.2496846466113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989905 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79200u1 26400bs1 15840bf1 |
Quadratic twists by: -4 -3 5 |