Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030p |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4506662490262560000 = 28 · 38 · 54 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3150135,2150360541] |
[a1,a2,a3,a4,a6] |
Generators |
[-2045:7106:1] |
Generators of the group modulo torsion |
j |
4742242511320361205361/6181978724640000 |
j-invariant |
L |
3.2518914256005 |
L(r)(E,1)/r! |
Ω |
0.24439472112542 |
Real period |
R |
3.326474699147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010bb2 |
Quadratic twists by: -3 |