Atkin-Lehner |
5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925x |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-281650518359375 = -1 · 58 · 117 · 37 |
Discriminant |
Eigenvalues |
1 1 5- -2 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1576,807673] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:272:1] [527:11836:1] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
15.448130153049 |
L(r)(E,1)/r! |
Ω |
0.44403383195767 |
Real period |
R |
2.8992029139944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111925j1 10175l1 |
Quadratic twists by: 5 -11 |