Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825h |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
1711928925 = 39 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -1 -4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-635,5982] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:105:1] [5:51:1] |
Generators of the group modulo torsion |
j |
1551443665/93933 |
j-invariant |
L |
7.1986709176021 |
L(r)(E,1)/r! |
Ω |
1.4687015138673 |
Real period |
R |
0.61267306963715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37275d1 111825s1 |
Quadratic twists by: -3 5 |