Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200co |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-132300800 = -1 · 214 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -6 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,130] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [1:16:1] |
Generators of the group modulo torsion |
j |
2109375/1292 |
j-invariant |
L |
6.0026593711568 |
L(r)(E,1)/r! |
Ω |
1.1392692348041 |
Real period |
R |
1.3172170318368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000019042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150g1 129200cx1 |
Quadratic twists by: -4 5 |