Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
26400w |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2463436800 = -1 · 212 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,287,1583] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
25442240/24057 |
j-invariant |
L |
5.6273373372964 |
L(r)(E,1)/r! |
Ω |
0.94960890222364 |
Real period |
R |
0.21164116406687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26400bf1 52800q1 79200dp1 26400br1 |
Quadratic twists by: -4 8 -3 5 |