Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36252i |
Isogeny class |
Conductor |
36252 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-65349590655744 = -1 · 28 · 314 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 5 -5 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107688,13607444] |
[a1,a2,a3,a4,a6] |
j |
-740045040050176/350167131 |
j-invariant |
L |
2.4434927463376 |
L(r)(E,1)/r! |
Ω |
0.61087318658544 |
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 |
12084c1 |
Quadratic twists by: -3 |