Atkin-Lehner |
2+ 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306j |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26411658 = 2 · 3 · 7 · 132 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-241,1394] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
1538798703625/26411658 |
j-invariant |
L |
4.8949159608455 |
L(r)(E,1)/r! |
Ω |
2.1168307987051 |
Real period |
R |
2.3123794135268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918bg2 |
Quadratic twists by: -3 |