Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490k |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5189400 = -1 · 23 · 33 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -1 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6,108] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
837/200 |
j-invariant |
L |
5.2275126182725 |
L(r)(E,1)/r! |
Ω |
1.8729065596968 |
Real period |
R |
0.69778075541856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490by1 86490e1 |
Quadratic twists by: -3 -31 |