Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984h |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-6148813628208 = -1 · 24 · 3 · 716 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3361,-93912] |
[a1,a2,a3,a4,a6] |
Generators |
[236821:2699039:2197] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
3.9028212916743 |
L(r)(E,1)/r! |
Ω |
0.40012352027707 |
Real period |
R |
9.7540409752651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000204274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24a4 |
Quadratic twists by: -71 |