Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080n |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
356352 |
Modular degree for the optimal curve |
Δ |
-20175075000000 = -1 · 26 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 5 2 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1998,-213354] |
[a1,a2,a3,a4,a6] |
j |
700227072/16015625 |
j-invariant |
L |
5.3037500515974 |
L(r)(E,1)/r! |
Ω |
0.3314843976681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080o1 59040be1 118080h1 |
Quadratic twists by: -4 8 -3 |