Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925f |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-41884882265625 = -1 · 3 · 57 · 78 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3037,305906] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:1301:8] [20:-623:1] |
Generators of the group modulo torsion |
j |
34391/465 |
j-invariant |
L |
6.1256779977537 |
L(r)(E,1)/r! |
Ω |
0.47636096536957 |
Real period |
R |
1.0716099841052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785j1 113925by1 |
Quadratic twists by: 5 -7 |