Atkin-Lehner |
2- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
56560h |
Isogeny class |
Conductor |
56560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2781195468800 = -1 · 216 · 52 · 75 · 101 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1624,76724] |
[a1,a2,a3,a4,a6] |
Generators |
[14:320:1] |
Generators of the group modulo torsion |
j |
115572468311/679002800 |
j-invariant |
L |
6.5031997368298 |
L(r)(E,1)/r! |
Ω |
0.5831257142346 |
Real period |
R |
1.3940389649401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070b1 |
Quadratic twists by: -4 |