Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26800bg |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-6860800000000 = -1 · 218 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12875,576250] |
[a1,a2,a3,a4,a6] |
Generators |
[69:128:1] |
Generators of the group modulo torsion |
j |
-147518145/4288 |
j-invariant |
L |
4.9141849624175 |
L(r)(E,1)/r! |
Ω |
0.74536042296849 |
Real period |
R |
1.6482579470902 |
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 |
3350f1 107200dg1 26800x1 |
Quadratic twists by: -4 8 5 |