Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cs |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3783072600000000 = -1 · 29 · 39 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37903,-840031] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-3464:1] |
Generators of the group modulo torsion |
j |
8596156121591/5400000000 |
j-invariant |
L |
13.053050891451 |
L(r)(E,1)/r! |
Ω |
0.25429234168183 |
Real period |
R |
0.17823223880538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830o1 86490ck1 |
Quadratic twists by: -3 -31 |