Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
122525f |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
572832 |
Modular degree for the optimal curve |
Δ |
369627982953125 = 56 · 138 · 29 |
Discriminant |
Eigenvalues |
-2 -2 5+ 0 2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18308,225294] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:929:1] |
Generators of the group modulo torsion |
j |
53248/29 |
j-invariant |
L |
2.5749999118008 |
L(r)(E,1)/r! |
Ω |
0.4674749023511 |
Real period |
R |
1.8361056136573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000133781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4901a1 122525e1 |
Quadratic twists by: 5 13 |