Atkin-Lehner |
3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11985c |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9875335693359375 = 34 · 516 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-353306,-80836072] |
[a1,a2,a3,a4,a6] |
Generators |
[-21918040:34893677:64000] |
Generators of the group modulo torsion |
j |
4877270329033471236769/9875335693359375 |
j-invariant |
L |
2.4330006266856 |
L(r)(E,1)/r! |
Ω |
0.19584596286986 |
Real period |
R |
12.423031810476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35955h4 59925n4 |
Quadratic twists by: -3 5 |