Atkin-Lehner |
2- 3+ 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
26070z |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-2502720000000 = -1 · 212 · 32 · 57 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2715,54315] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-1252:1] |
Generators of the group modulo torsion |
j |
2213213019251759/2502720000000 |
j-invariant |
L |
6.2142407931861 |
L(r)(E,1)/r! |
Ω |
0.54155115277938 |
Real period |
R |
0.068302926401374 |
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 |
78210m1 |
Quadratic twists by: -3 |