Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640h |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7357279509361200 = -1 · 24 · 3 · 52 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34415,4814550] |
[a1,a2,a3,a4,a6] |
Generators |
[-13820:93415:64] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
5.8723940547287 |
L(r)(E,1)/r! |
Ω |
0.3747487621155 |
Real period |
R |
7.8351080040712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320be1 4560g1 |
Quadratic twists by: -4 -19 |