Atkin-Lehner |
3- 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22515f |
Isogeny class |
Conductor |
22515 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
114058175625 = 34 · 54 · 192 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1555,-17248] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:53:1] [-16:68:1] |
Generators of the group modulo torsion |
j |
415845826956721/114058175625 |
j-invariant |
L |
5.6086610897601 |
L(r)(E,1)/r! |
Ω |
0.77594634622027 |
Real period |
R |
1.8070389522037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67545g2 112575e2 |
Quadratic twists by: -3 5 |