Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600s |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-3958500375000000 = -1 · 26 · 35 · 59 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19958,3209088] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1500:1] |
Generators of the group modulo torsion |
j |
-7033743296/31668003 |
j-invariant |
L |
6.7452741782686 |
L(r)(E,1)/r! |
Ω |
0.38294943711963 |
Real period |
R |
1.7614007292971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45600k1 91200hc1 45600bi1 |
Quadratic twists by: -4 8 5 |