Atkin-Lehner |
2- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
114700o |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16344 |
Modular degree for the optimal curve |
Δ |
-458800 = -1 · 24 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 2 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-92] |
[a1,a2,a3,a4,a6] |
j |
-10240000/1147 |
j-invariant |
L |
0.9872298338001 |
L(r)(E,1)/r! |
Ω |
0.98723024557955 |
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 |
114700t1 |
Quadratic twists by: 5 |