Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1210h |
Isogeny class |
Conductor |
1210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-681472000 = -1 · 212 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-206,-1781] |
[a1,a2,a3,a4,a6] |
j |
-726572699/512000 |
j-invariant |
L |
3.6664481591732 |
L(r)(E,1)/r! |
Ω |
0.61107469319554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9680l1 38720bc1 10890s1 6050c1 |
Quadratic twists by: -4 8 -3 5 |