Atkin-Lehner |
2+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150a |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
-5.7302146519654E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1742725,3533468125] |
[a1,a2,a3,a4,a6] |
Generators |
[3590:235005:1] |
Generators of the group modulo torsion |
j |
45924354671/449576960 |
j-invariant |
L |
2.6606694202284 |
L(r)(E,1)/r! |
Ω |
0.099153456811183 |
Real period |
R |
3.3542317961615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830q1 59150bu1 |
Quadratic twists by: 5 13 |