Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113715r |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
3715852864248811125 = 36 · 53 · 74 · 198 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 5 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-390963,-15866582] |
[a1,a2,a3,a4,a6] |
Generators |
[-361:8844:1] |
Generators of the group modulo torsion |
j |
533794816/300125 |
j-invariant |
L |
3.6802502332345 |
L(r)(E,1)/r! |
Ω |
0.20542647912304 |
Real period |
R |
0.74646539032022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000182428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635d1 113715y1 |
Quadratic twists by: -3 -19 |