Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442h |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-109977426 = -1 · 2 · 35 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,101,-281] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
51064811/50058 |
j-invariant |
L |
2.6304112733149 |
L(r)(E,1)/r! |
Ω |
1.0227238281989 |
Real period |
R |
1.2859831815171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999563331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442be1 |
Quadratic twists by: 13 |