Atkin-Lehner |
2- 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030bh |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-22406077440 = -1 · 210 · 38 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,337,6711] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:66:1] [3:86:1] |
Generators of the group modulo torsion |
j |
5822285399/30735360 |
j-invariant |
L |
12.486506157073 |
L(r)(E,1)/r! |
Ω |
0.86829424868401 |
Real period |
R |
1.4380500822162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010g1 |
Quadratic twists by: -3 |