Atkin-Lehner |
7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26257a |
Isogeny class |
Conductor |
26257 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-199126012762523 = -1 · 73 · 117 · 313 |
Discriminant |
Eigenvalues |
-1 -1 -2 7- 11- 2 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54634,4939122] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-482:1] |
Generators of the group modulo torsion |
j |
-10180218348217/112401443 |
j-invariant |
L |
2.5631370347382 |
L(r)(E,1)/r! |
Ω |
0.56729867417268 |
Real period |
R |
0.37651199027803 |
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 |
2387a1 |
Quadratic twists by: -11 |