Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568l |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
3232292186448 = 24 · 316 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13350,-587369] |
[a1,a2,a3,a4,a6] |
Generators |
[135:266:1] |
Generators of the group modulo torsion |
j |
22559008000000/277116957 |
j-invariant |
L |
3.4081086795531 |
L(r)(E,1)/r! |
Ω |
0.44447961880028 |
Real period |
R |
3.8338188472535 |
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 |
17784c1 11856l1 |
Quadratic twists by: -4 -3 |