Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084h |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.1869307749093E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5667772,-710409000] |
[a1,a2,a3,a4,a6] |
Generators |
[21415184:-1697804199:4096] |
Generators of the group modulo torsion |
j |
3258571509326000/1920843121977 |
j-invariant |
L |
5.9211100411835 |
L(r)(E,1)/r! |
Ω |
0.074542401296744 |
Real period |
R |
13.238796394583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652f4 |
Quadratic twists by: 17 |