Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cp |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10387479409019100 = 22 · 320 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69512,-5053489] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:767:8] |
Generators of the group modulo torsion |
j |
1710348447079/478296900 |
j-invariant |
L |
11.755014150782 |
L(r)(E,1)/r! |
Ω |
0.30024372475262 |
Real period |
R |
4.8939466413995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830n2 86490cq2 |
Quadratic twists by: -3 -31 |