Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610i |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-559322204589843750 = -1 · 2 · 34 · 516 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,168113,-24237389] |
[a1,a2,a3,a4,a6] |
Generators |
[187:3619:1] |
Generators of the group modulo torsion |
j |
525440531549759128199/559322204589843750 |
j-invariant |
L |
2.7244964274849 |
L(r)(E,1)/r! |
Ω |
0.1577933853345 |
Real period |
R |
0.71942612954206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880cr3 16830ca4 28050dl3 61710bz3 |
Quadratic twists by: -4 -3 5 -11 |