Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200z |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-675020800 = -1 · 218 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 6 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395,-3270] |
[a1,a2,a3,a4,a6] |
j |
-66560265/6592 |
j-invariant |
L |
2.1298432155658 |
L(r)(E,1)/r! |
Ω |
0.53246080389206 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150n1 41200br1 |
Quadratic twists by: -4 5 |