Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200l |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
788480000000 = 217 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1642700,810374000] |
[a1,a2,a3,a4,a6] |
j |
239369344910082/385 |
j-invariant |
L |
2.3054320309356 |
L(r)(E,1)/r! |
Ω |
0.57635822063196 |
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 |
123200fe4 15400b4 24640l4 |
Quadratic twists by: -4 8 5 |