Atkin-Lehner |
2+ 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
7314b |
Isogeny class |
Conductor |
7314 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-117024 = -1 · 25 · 3 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -1 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,-20] |
[a1,a2,a3,a4,a6] |
j |
-68417929/117024 |
j-invariant |
L |
1.3203378507101 |
L(r)(E,1)/r! |
Ω |
1.3203378507101 |
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 |
58512k1 21942i1 |
Quadratic twists by: -4 -3 |