Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040u |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
22913280 = 28 · 34 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-356,2460] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
19545784144/89505 |
j-invariant |
L |
7.3040827346712 |
L(r)(E,1)/r! |
Ω |
2.1500416486057 |
Real period |
R |
1.6985909876221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520o1 |
Quadratic twists by: -4 |