Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2310r |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2466782226562500000 = 25 · 38 · 516 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-672321,-198328599] |
[a1,a2,a3,a4,a6] |
j |
33608860073906150870929/2466782226562500000 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
18480bv3 73920z3 6930k3 11550k4 |
Quadratic twists by: -4 8 -3 5 |