Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11130ba |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
369979008000 = 210 · 3 · 53 · 73 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3245,-66205] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:88:1] |
Generators of the group modulo torsion |
j |
3778993806976081/369979008000 |
j-invariant |
L |
6.2774678374455 |
L(r)(E,1)/r! |
Ω |
0.63653314393973 |
Real period |
R |
0.21915478652558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040cn1 33390l1 55650t1 77910ci1 |
Quadratic twists by: -4 -3 5 -7 |