Atkin-Lehner |
3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26145i |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
4052569775625 = 313 · 54 · 72 · 83 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34560,2479675] |
[a1,a2,a3,a4,a6] |
Generators |
[158:893:1] |
Generators of the group modulo torsion |
j |
6262164239708161/5559080625 |
j-invariant |
L |
5.2414940936489 |
L(r)(E,1)/r! |
Ω |
0.7765560957451 |
Real period |
R |
1.68741644112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715g1 |
Quadratic twists by: -3 |