Atkin-Lehner |
2+ 3- 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60030m |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2732309113420800 = -1 · 210 · 38 · 52 · 23 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242100,45979600] |
[a1,a2,a3,a4,a6] |
Generators |
[360:-2500:1] |
Generators of the group modulo torsion |
j |
-2152690336124193601/3748023475200 |
j-invariant |
L |
2.7806738804848 |
L(r)(E,1)/r! |
Ω |
0.45424927758257 |
Real period |
R |
0.38259195143062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990812 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010t1 |
Quadratic twists by: -3 |