Atkin-Lehner |
3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825c |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16726250302734375 = -1 · 33 · 510 · 13 · 474 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18037,6159656] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2497:1] |
Generators of the group modulo torsion |
j |
41533171661591/1070480019375 |
j-invariant |
L |
1.4420201828228 |
L(r)(E,1)/r! |
Ω |
0.29324179708631 |
Real period |
R |
2.4587562161614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9165c4 |
Quadratic twists by: 5 |