Atkin-Lehner |
2+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850d |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-54673694136875000 = -1 · 23 · 57 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63125,12773125] |
[a1,a2,a3,a4,a6] |
j |
-1780404196683601/3499116424760 |
j-invariant |
L |
1.2608502659828 |
L(r)(E,1)/r! |
Ω |
0.31521256649145 |
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 |
7370i1 |
Quadratic twists by: 5 |