Atkin-Lehner |
2+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37544d |
Isogeny class |
Conductor |
37544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-67119041138032 = -1 · 24 · 13 · 199 |
Discriminant |
Eigenvalues |
2+ 0 0 2 6 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34295,2476099] |
[a1,a2,a3,a4,a6] |
j |
-864000/13 |
j-invariant |
L |
2.4803405650225 |
L(r)(E,1)/r! |
Ω |
0.62008514124759 |
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 |
75088f1 37544h1 |
Quadratic twists by: -4 -19 |