Atkin-Lehner |
2- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450o |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-499974500000 = -1 · 25 · 56 · 293 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 1 5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13413,-604469] |
[a1,a2,a3,a4,a6] |
Generators |
[145:652:1] |
Generators of the group modulo torsion |
j |
-17079827632777/31998368 |
j-invariant |
L |
6.3157100605177 |
L(r)(E,1)/r! |
Ω |
0.22178856399978 |
Real period |
R |
0.94920885408847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2378c1 |
Quadratic twists by: 5 |