Atkin-Lehner |
2+ 3- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81498j |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
117936 |
Modular degree for the optimal curve |
Δ |
-3227975065944 = -1 · 23 · 37 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 1 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3619,-120682] |
[a1,a2,a3,a4,a6] |
Generators |
[76:173:1] |
Generators of the group modulo torsion |
j |
-62736640489/38648664 |
j-invariant |
L |
5.2015075813854 |
L(r)(E,1)/r! |
Ω |
0.29939149241502 |
Real period |
R |
1.2409713207176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81498a1 |
Quadratic twists by: 17 |