Atkin-Lehner |
2- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850v |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-12344750000000 = -1 · 27 · 59 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11- -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270,-169103] |
[a1,a2,a3,a4,a6] |
j |
139798359/790064000 |
j-invariant |
L |
9.2280226559697 |
L(r)(E,1)/r! |
Ω |
0.32957223771281 |
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 |
7370b1 |
Quadratic twists by: 5 |