Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019f |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
75018526478043057 = 32 · 73 · 138 · 313 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35979174,83051313522] |
[a1,a2,a3,a4,a6] |
Generators |
[433070:-240173:125] [3100:34766:1] |
Generators of the group modulo torsion |
j |
1067129596696048382953/15542054073 |
j-invariant |
L |
5.7758580095695 |
L(r)(E,1)/r! |
Ω |
0.2448048283567 |
Real period |
R |
3.9322876438428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463d1 |
Quadratic twists by: 13 |