Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650w |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7223115502968750000 = 24 · 36 · 510 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-492567,-31256659] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1234:1] |
Generators of the group modulo torsion |
j |
1160306142246441/634128110000 |
j-invariant |
L |
4.0813822651404 |
L(r)(E,1)/r! |
Ω |
0.19245298765753 |
Real period |
R |
2.6508956257436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3850n4 6930bc3 |
Quadratic twists by: -3 5 |