Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700r |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2115072 |
Modular degree for the optimal curve |
Δ |
-4668330346180902000 = -1 · 24 · 39 · 53 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2219038,1277296297] |
[a1,a2,a3,a4,a6] |
Generators |
[771:4913:1] |
Generators of the group modulo torsion |
j |
-5095042816/19683 |
j-invariant |
L |
6.0421167617965 |
L(r)(E,1)/r! |
Ω |
0.24537833144534 |
Real period |
R |
2.0519730786042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990282 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bx1 86700by1 |
Quadratic twists by: 5 17 |