Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240k |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55552 |
Modular degree for the optimal curve |
Δ |
3925598888960 = 210 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9947,-369754] |
[a1,a2,a3,a4,a6] |
j |
2634012/95 |
j-invariant |
L |
0.47911366965119 |
L(r)(E,1)/r! |
Ω |
0.47911366967489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480o1 37240a1 |
Quadratic twists by: -4 -7 |