Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2366d |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-11420230094 = -1 · 2 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,503,-2702] |
[a1,a2,a3,a4,a6] |
j |
17303/14 |
j-invariant |
L |
2.1210602277257 |
L(r)(E,1)/r! |
Ω |
0.70702007590858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18928m1 75712bd1 21294cr1 59150bi1 |
Quadratic twists by: -4 8 -3 5 |