Atkin-Lehner |
3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6105g |
Isogeny class |
Conductor |
6105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
75473825625 = 36 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3676,84455] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:431:1] |
Generators of the group modulo torsion |
j |
5493607207846849/75473825625 |
j-invariant |
L |
2.2749901622058 |
L(r)(E,1)/r! |
Ω |
1.0923762324612 |
Real period |
R |
0.69420226432431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
97680bg2 18315s2 30525b2 67155o2 |
Quadratic twists by: -4 -3 5 -11 |