Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
26019i |
Isogeny class |
Conductor |
26019 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4680 |
Modular degree for the optimal curve |
Δ |
-2107539 = -1 · 36 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104,438] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-1:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
3.9543875376447 |
L(r)(E,1)/r! |
Ω |
2.6140708429899 |
Real period |
R |
1.5127315880704 |
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 |
2891b1 26019f1 |
Quadratic twists by: -3 -7 |