Atkin-Lehner |
3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
26019f |
Isogeny class |
Conductor |
26019 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32760 |
Modular degree for the optimal curve |
Δ |
-247949855811 = -1 · 36 · 78 · 59 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5081,-140164] |
[a1,a2,a3,a4,a6] |
Generators |
[2964:19696:27] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
2.0374093544479 |
L(r)(E,1)/r! |
Ω |
0.28245432043818 |
Real period |
R |
7.2132348738274 |
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 |
2891a1 26019i1 |
Quadratic twists by: -3 -7 |