Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200ct |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-431039313920000 = -1 · 214 · 54 · 17 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88008,10128112] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:3610:1] [-12:3344:1] |
Generators of the group modulo torsion |
j |
-29447954712025/168374732 |
j-invariant |
L |
8.6638458769573 |
L(r)(E,1)/r! |
Ω |
0.53256168338569 |
Real period |
R |
0.27113747709386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150n1 129200cf2 |
Quadratic twists by: -4 5 |