Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
26544k |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
81543168 = 214 · 32 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
95443993/19908 |
j-invariant |
L |
4.9861319912134 |
L(r)(E,1)/r! |
Ω |
1.3789281261733 |
Real period |
R |
1.8079738517809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3318e1 106176cb1 79632y1 |
Quadratic twists by: -4 8 -3 |