Atkin-Lehner |
7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
39347d |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-209680163 = -1 · 72 · 11 · 733 |
Discriminant |
Eigenvalues |
0 0 -2 7- 11+ -5 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-196,1265] |
[a1,a2,a3,a4,a6] |
Generators |
[25:109:1] |
Generators of the group modulo torsion |
j |
-16994009088/4279187 |
j-invariant |
L |
2.3312302688957 |
L(r)(E,1)/r! |
Ω |
1.6935215570507 |
Real period |
R |
0.45885259214062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39347a1 |
Quadratic twists by: -7 |