Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688s |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
5393711463747679296 = 26 · 318 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1505829,702400340] |
[a1,a2,a3,a4,a6] |
Generators |
[-815:37260:1] |
Generators of the group modulo torsion |
j |
8093626893363763648/115605955584441 |
j-invariant |
L |
8.7228075798812 |
L(r)(E,1)/r! |
Ω |
0.24196790193945 |
Real period |
R |
6.0082401511777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971434 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86688bn1 28896l1 |
Quadratic twists by: -4 -3 |