Atkin-Lehner |
2- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
115900g |
Isogeny class |
Conductor |
115900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-37088000 = -1 · 28 · 53 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -3 5- -1 -6 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80,100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:10:1] [4:22:1] |
Generators of the group modulo torsion |
j |
1769472/1159 |
j-invariant |
L |
6.1310211370911 |
L(r)(E,1)/r! |
Ω |
1.2860450031667 |
Real period |
R |
0.79455761889143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115900f1 |
Quadratic twists by: 5 |