Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032f |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-19041697792 = -1 · 214 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 -4 5 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3059,65458] |
[a1,a2,a3,a4,a6] |
Generators |
[39:74:1] |
Generators of the group modulo torsion |
j |
-1460987577/8788 |
j-invariant |
L |
6.4284524119712 |
L(r)(E,1)/r! |
Ω |
1.2282275311726 |
Real period |
R |
2.6169631787765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999432124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754a1 110032h1 |
Quadratic twists by: -4 -23 |