Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8120d |
Isogeny class |
Conductor |
8120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1299200 = -1 · 28 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 6 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145,725] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
-1326109696/5075 |
j-invariant |
L |
3.6070141784687 |
L(r)(E,1)/r! |
Ω |
2.729692965551 |
Real period |
R |
0.16517490355095 |
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 |
16240i1 64960d1 73080bd1 40600u1 |
Quadratic twists by: -4 8 -3 5 |