Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690bc |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
222467367315600 = 24 · 314 · 52 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26663,-1507633] |
[a1,a2,a3,a4,a6] |
j |
2875464110946601/305167856400 |
j-invariant |
L |
3.0094431828134 |
L(r)(E,1)/r! |
Ω |
0.37618039785196 |
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 |
10230q2 |
Quadratic twists by: -3 |