Atkin-Lehner |
2- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230y |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-525149507584000 = -1 · 215 · 53 · 134 · 672 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14115,1276417] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:553:1] [92:825:1] |
Generators of the group modulo torsion |
j |
-10889172391201/18386944000 |
j-invariant |
L |
12.659438914316 |
L(r)(E,1)/r! |
Ω |
0.46645034539503 |
Real period |
R |
0.90466499028551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990138 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113230b1 |
Quadratic twists by: 13 |