Atkin-Lehner |
2+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850i |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-583482324218750 = -1 · 2 · 511 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 11- 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-229942,42513466] |
[a1,a2,a3,a4,a6] |
Generators |
[389:3243:1] [-271:9348:1] |
Generators of the group modulo torsion |
j |
-86051741101013169/37342868750 |
j-invariant |
L |
4.2397511093029 |
L(r)(E,1)/r! |
Ω |
0.50834706149993 |
Real period |
R |
0.34751119776247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370g1 |
Quadratic twists by: 5 |