Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10150p |
Isogeny class |
Conductor |
10150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-25240512500000 = -1 · 25 · 58 · 74 · 292 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,570,-241803] |
[a1,a2,a3,a4,a6] |
Generators |
[469:-10385:1] |
Generators of the group modulo torsion |
j |
52517295/64615712 |
j-invariant |
L |
4.1229055248726 |
L(r)(E,1)/r! |
Ω |
0.31235155685674 |
Real period |
R |
0.10999639760516 |
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 |
81200cd1 91350cr1 10150c1 71050cn1 |
Quadratic twists by: -4 -3 5 -7 |