Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
26904f |
Isogeny class |
Conductor |
26904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-392583168 = -1 · 211 · 32 · 192 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -3 1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78144,-8434080] |
[a1,a2,a3,a4,a6] |
Generators |
[159918:3983293:216] |
Generators of the group modulo torsion |
j |
-25768327484921474/191691 |
j-invariant |
L |
5.0918527678617 |
L(r)(E,1)/r! |
Ω |
0.14277270446696 |
Real period |
R |
8.9160123198482 |
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 |
53808b1 80712g1 |
Quadratic twists by: -4 -3 |