Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490r |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
37305453977669340 = 22 · 37 · 5 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2659740660,-52796068384604] |
[a1,a2,a3,a4,a6] |
Generators |
[-433227562484361456243589948:216623826222780691950712889:14549922438042274115392] |
Generators of the group modulo torsion |
j |
3216206300355197383681/57660 |
j-invariant |
L |
3.0330747715937 |
L(r)(E,1)/r! |
Ω |
0.02102275996154 |
Real period |
R |
36.068941247874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830bd6 2790g5 |
Quadratic twists by: -3 -31 |