Atkin-Lehner |
2+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850h |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
366912 |
Modular degree for the optimal curve |
Δ |
-13933906250000000 = -1 · 27 · 513 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 11- -5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-273025,-55316875] |
[a1,a2,a3,a4,a6] |
j |
-144050051827661329/891770000000 |
j-invariant |
L |
0.6263387939264 |
L(r)(E,1)/r! |
Ω |
0.10438979898673 |
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 |
7370e1 |
Quadratic twists by: 5 |