Atkin-Lehner |
2- 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760bg |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1416960 |
Modular degree for the optimal curve |
Δ |
-7361032826880 = -1 · 212 · 36 · 5 · 793 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5149992,-4498398704] |
[a1,a2,a3,a4,a6] |
j |
-5058897720777362944/2465195 |
j-invariant |
L |
2.505462241359 |
L(r)(E,1)/r! |
Ω |
0.05010925205638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760s1 12640a1 |
Quadratic twists by: -4 -3 |