Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17400h |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2018400000000 = -1 · 211 · 3 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1992,-58512] |
[a1,a2,a3,a4,a6] |
j |
27303838/63075 |
j-invariant |
L |
3.4319525096654 |
L(r)(E,1)/r! |
Ω |
0.42899406370818 |
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 |
34800a2 52200bv2 3480p2 |
Quadratic twists by: -4 -3 5 |