Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438i |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
364216161374208 = 212 · 33 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-129109,-17886227] |
[a1,a2,a3,a4,a6] |
Generators |
[-5703:6329:27] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
2.715238491294 |
L(r)(E,1)/r! |
Ω |
0.25188360514567 |
Real period |
R |
5.3898674543023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75504da1 28314ch1 858e1 122694cp1 |
Quadratic twists by: -4 -3 -11 13 |