Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800c |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1308593750000 = -1 · 24 · 513 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2008,64363] |
[a1,a2,a3,a4,a6] |
Generators |
[69:509:1] |
Generators of the group modulo torsion |
j |
-3583365376/5234375 |
j-invariant |
L |
6.9198122221231 |
L(r)(E,1)/r! |
Ω |
0.7722898017708 |
Real period |
R |
4.4800618927354 |
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 |
13400e1 107200cl1 5360f1 |
Quadratic twists by: -4 8 5 |