Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360bt |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-649993830400 = -1 · 214 · 52 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1521,45521] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:6517:27] |
Generators of the group modulo torsion |
j |
-23767139536/39672475 |
j-invariant |
L |
10.223962421406 |
L(r)(E,1)/r! |
Ω |
0.81516549716583 |
Real period |
R |
6.2710961566663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360e2 25840f2 |
Quadratic twists by: -4 8 |