Atkin-Lehner |
2- 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21012h |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-138170192116464 = -1 · 24 · 310 · 175 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 3 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5666,587001] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:459:1] |
Generators of the group modulo torsion |
j |
-1257506061055744/8635637007279 |
j-invariant |
L |
4.9848768842283 |
L(r)(E,1)/r! |
Ω |
0.50105015815738 |
Real period |
R |
0.066325720130965 |
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 |
84048o1 63036f1 |
Quadratic twists by: -4 -3 |