Atkin-Lehner |
2+ 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310c |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
193968916520400 = 24 · 33 · 52 · 7 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41634,-3190012] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:121:1] |
Generators of the group modulo torsion |
j |
295603947373958523/7184033945200 |
j-invariant |
L |
4.2591121250671 |
L(r)(E,1)/r! |
Ω |
0.33471893579907 |
Real period |
R |
1.0603702762586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310bc2 116550cy2 |
Quadratic twists by: -3 5 |