Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270b |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-29118607949103750 = -1 · 2 · 32 · 54 · 712 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43323,-8931573] |
[a1,a2,a3,a4,a6] |
j |
-8992800180983352889/29118607949103750 |
j-invariant |
L |
1.2194960216558 |
L(r)(E,1)/r! |
Ω |
0.15243700271942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ec3 |
Quadratic twists by: -3 |