Atkin-Lehner |
3+ 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84075c |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2858057373046875 = -1 · 3 · 512 · 19 · 593 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25783,-3017157] |
[a1,a2,a3,a4,a6] |
Generators |
[207:687:1] [3706:73421:8] |
Generators of the group modulo torsion |
j |
-121316780376064/182915671875 |
j-invariant |
L |
8.0131865744983 |
L(r)(E,1)/r! |
Ω |
0.1787989004541 |
Real period |
R |
22.40837766356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16815c2 |
Quadratic twists by: 5 |