Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976dr |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-95820414976 = -1 · 215 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53612,4777968] |
[a1,a2,a3,a4,a6] |
Generators |
[3666:-1144:27] [38:1672:1] |
Generators of the group modulo torsion |
j |
-236717162856/1331 |
j-invariant |
L |
11.329127683088 |
L(r)(E,1)/r! |
Ω |
0.94858552142789 |
Real period |
R |
0.49763250246121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cp1 59488q1 118976cr1 |
Quadratic twists by: -4 8 13 |