Atkin-Lehner |
2- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5698c |
Isogeny class |
Conductor |
5698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16162764464 = 24 · 72 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-739,-5039] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:32:1] |
Generators of the group modulo torsion |
j |
44636872368817/16162764464 |
j-invariant |
L |
7.104017297171 |
L(r)(E,1)/r! |
Ω |
0.94330754229315 |
Real period |
R |
1.8827415711904 |
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 |
45584j2 51282p2 39886m2 62678b2 |
Quadratic twists by: -4 -3 -7 -11 |