Atkin-Lehner |
2+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600i |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-56990800000000 = -1 · 210 · 58 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 6 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15875,-851250] |
[a1,a2,a3,a4,a6] |
Generators |
[3475769293:53178492652:11697083] |
Generators of the group modulo torsion |
j |
-1106126820/142477 |
j-invariant |
L |
6.6415216236688 |
L(r)(E,1)/r! |
Ω |
0.21114414627287 |
Real period |
R |
15.727458597179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999797972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600m1 |
Quadratic twists by: 5 |