Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040p |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
24064000000000 = 218 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -3 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227265,-41776225] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:20:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
6.012271809343 |
L(r)(E,1)/r! |
Ω |
0.21865868862771 |
Real period |
R |
1.5275638147074 |
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 |
15040bg1 235b1 75200g1 |
Quadratic twists by: -4 8 5 |