Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010p |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-2500203156840 = -1 · 23 · 311 · 5 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,569,76133] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:238:1] |
Generators of the group modulo torsion |
j |
20371021481231/2500203156840 |
j-invariant |
L |
7.0417367618245 |
L(r)(E,1)/r! |
Ω |
0.62525323976941 |
Real period |
R |
3.7540718511759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60030t1 100050bg1 |
Quadratic twists by: -3 5 |