Atkin-Lehner |
2- 3- 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652m |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-71289808128 = -1 · 28 · 36 · 7 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,12854] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:2:1] [31:-198:1] |
Generators of the group modulo torsion |
j |
-810448/381997 |
j-invariant |
L |
10.347372217891 |
L(r)(E,1)/r! |
Ω |
0.88723791345045 |
Real period |
R |
0.64791416517096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12628a1 |
Quadratic twists by: -3 |