Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2310r |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-604492922880000 = -1 · 220 · 32 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40481,-3354039] |
[a1,a2,a3,a4,a6] |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
3.3499903496395 |
L(r)(E,1)/r! |
Ω |
0.16749951748198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480bv1 73920z1 6930k1 11550k1 |
Quadratic twists by: -4 8 -3 5 |