Atkin-Lehner |
2- 3- 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
38346q |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-8731262719872 = -1 · 27 · 36 · 7 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 7 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1043,-141487] |
[a1,a2,a3,a4,a6] |
Generators |
[266:-4489:1] |
Generators of the group modulo torsion |
j |
125473095600047/8731262719872 |
j-invariant |
L |
12.573227911977 |
L(r)(E,1)/r! |
Ω |
0.34941284328616 |
Real period |
R |
0.17135178347616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115038g1 |
Quadratic twists by: -3 |