Atkin-Lehner |
3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4845h |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
34652942555625 = 312 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8380,82775] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:470:1] |
Generators of the group modulo torsion |
j |
65081717751683521/34652942555625 |
j-invariant |
L |
2.6799406891176 |
L(r)(E,1)/r! |
Ω |
0.5723266244808 |
Real period |
R |
0.3902114303391 |
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 |
77520bx2 14535h2 24225b2 82365d2 |
Quadratic twists by: -4 -3 5 17 |