Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979h |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
-19621835404963203 = -1 · 3 · 174 · 238 |
Discriminant |
Eigenvalues |
0 3- -2 1 2 5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-56779,8498086] |
[a1,a2,a3,a4,a6] |
Generators |
[-87282:2687480:729] |
Generators of the group modulo torsion |
j |
-258506752/250563 |
j-invariant |
L |
5.2465743039477 |
L(r)(E,1)/r! |
Ω |
0.351264535246 |
Real period |
R |
7.4681241308254 |
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 |
80937o1 26979o1 |
Quadratic twists by: -3 -23 |