Atkin-Lehner |
3+ 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
15045c |
Isogeny class |
Conductor |
15045 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
36240 |
Modular degree for the optimal curve |
Δ |
2717503125 = 3 · 55 · 173 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5- 3 2 -3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21400,1212108] |
[a1,a2,a3,a4,a6] |
Generators |
[84:12:1] |
Generators of the group modulo torsion |
j |
1083890291149213696/2717503125 |
j-invariant |
L |
2.6010821527855 |
L(r)(E,1)/r! |
Ω |
1.2441418101091 |
Real period |
R |
0.41813274526278 |
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 |
45135j1 75225u1 |
Quadratic twists by: -3 5 |