Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712h |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
965901811968 = 28 · 311 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43239,-3460358] |
[a1,a2,a3,a4,a6] |
Generators |
[-32979765:4932472:274625] |
Generators of the group modulo torsion |
j |
47905253487952/5175657 |
j-invariant |
L |
7.2296995507948 |
L(r)(E,1)/r! |
Ω |
0.33108039128035 |
Real period |
R |
10.918344524192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904g1 |
Quadratic twists by: -3 |