Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030o |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
201861773047214280 = 23 · 318 · 5 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-437119,109079402] |
[a1,a2,a3,a4,a6] |
j |
9236795664301877985769/201861773047214280 |
j-invariant |
L |
1.90228640311 |
L(r)(E,1)/r! |
Ω |
0.31704773385128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090dy2 |
Quadratic twists by: -3 |