Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784d |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-122122524994967552 = -1 · 211 · 1112 · 19 |
Discriminant |
Eigenvalues |
2+ -1 2 -3 11- 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-628272,192622432] |
[a1,a2,a3,a4,a6] |
j |
-7559297810066/33659659 |
j-invariant |
L |
1.3302222831928 |
L(r)(E,1)/r! |
Ω |
0.33255557080742 |
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 |
18392g1 3344b1 |
Quadratic twists by: -4 -11 |