Atkin-Lehner |
3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2337c |
Isogeny class |
Conductor |
2337 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5461569 = 32 · 192 · 412 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54,99] |
[a1,a2,a3,a4,a6] |
j |
17434421857/5461569 |
j-invariant |
L |
1.1151693427886 |
L(r)(E,1)/r! |
Ω |
2.2303386855771 |
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 |
37392i2 7011d2 58425f2 114513b2 |
Quadratic twists by: -4 -3 5 -7 |