Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030w |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
720360000 = 26 · 33 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26063,-1612969] |
[a1,a2,a3,a4,a6] |
Generators |
[201:1012:1] |
Generators of the group modulo torsion |
j |
72513278012259027/26680000 |
j-invariant |
L |
10.272540613556 |
L(r)(E,1)/r! |
Ω |
0.37574634527689 |
Real period |
R |
4.5565050033234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030d1 |
Quadratic twists by: -3 |