Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290u |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2737152 |
Modular degree for the optimal curve |
Δ |
-2.7031731377606E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-830183,-843257477] |
[a1,a2,a3,a4,a6] |
Generators |
[41782:2943609:8] |
Generators of the group modulo torsion |
j |
-2509090441/10718750 |
j-invariant |
L |
2.1671899931975 |
L(r)(E,1)/r! |
Ω |
0.07194011172351 |
Real period |
R |
2.5104098639454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470n1 59290de1 |
Quadratic twists by: -7 -11 |