Atkin-Lehner |
2+ 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970h |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-5121958374000 = -1 · 24 · 37 · 53 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,855,-108675] |
[a1,a2,a3,a4,a6] |
Generators |
[298:5003:1] |
Generators of the group modulo torsion |
j |
94756448879/7026006000 |
j-invariant |
L |
3.7227479032464 |
L(r)(E,1)/r! |
Ω |
0.36500182494929 |
Real period |
R |
5.0996291645145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990v1 |
Quadratic twists by: -3 |