Atkin-Lehner |
3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4845c |
Isogeny class |
Conductor |
4845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1235475 = 32 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-96,318] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:29:1] [-2:23:1] |
Generators of the group modulo torsion |
j |
97908438529/1235475 |
j-invariant |
L |
2.5420177892525 |
L(r)(E,1)/r! |
Ω |
2.7378972715112 |
Real period |
R |
0.46422811690274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520ce2 14535o2 24225o2 82365q2 |
Quadratic twists by: -4 -3 5 17 |