Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2478f |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-475776 = -1 · 27 · 32 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,33] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
-1/475776 |
j-invariant |
L |
4.141038824896 |
L(r)(E,1)/r! |
Ω |
2.3470494525963 |
Real period |
R |
0.12602567328327 |
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 |
19824u1 79296bb1 7434d1 61950r1 |
Quadratic twists by: -4 8 -3 5 |