Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152bb |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-623261184 = -1 · 29 · 3 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -3 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-1196] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] [20:78:1] |
Generators of the group modulo torsion |
j |
-392/507 |
j-invariant |
L |
8.207761236934 |
L(r)(E,1)/r! |
Ω |
0.73386284584462 |
Real period |
R |
0.93202715868589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61152bq1 122304gq1 61152ca1 |
Quadratic twists by: -4 8 -7 |