Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17100c |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
54002278800 = 24 · 39 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-945,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[69:513:1] |
Generators of the group modulo torsion |
j |
11854080/6859 |
j-invariant |
L |
5.7580860558079 |
L(r)(E,1)/r! |
Ω |
0.9443357106652 |
Real period |
R |
0.3387499447011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400dg2 17100d1 17100i2 |
Quadratic twists by: -4 -3 5 |