Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26702k |
Isogeny class |
Conductor |
26702 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2.2906619943291E+19 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-462472,-260343543] |
[a1,a2,a3,a4,a6] |
Generators |
[1565:-54187:1] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
5.1242362665158 |
L(r)(E,1)/r! |
Ω |
0.085860765699808 |
Real period |
R |
1.3563810455087 |
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 |
2054c1 |
Quadratic twists by: 13 |