Atkin-Lehner |
2- 3+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712n |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-29110272 = -1 · 212 · 3 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 2 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,-192] |
[a1,a2,a3,a4,a6] |
j |
6967871/7107 |
j-invariant |
L |
4.5555620812994 |
L(r)(E,1)/r! |
Ω |
1.1388905886336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7107a1 |
Quadratic twists by: -4 |