Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bt |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4617954783232 = -1 · 212 · 77 · 372 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4377,-153497] |
[a1,a2,a3,a4,a6] |
Generators |
[107:784:1] [177:2156:1] |
Generators of the group modulo torsion |
j |
-19248832/9583 |
j-invariant |
L |
9.5172441200585 |
L(r)(E,1)/r! |
Ω |
0.28669845782042 |
Real period |
R |
4.1495009208361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032bo1 58016e1 16576j1 |
Quadratic twists by: -4 8 -7 |