Atkin-Lehner |
2+ 3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110h |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-22906688895164160 = -1 · 28 · 311 · 5 · 192 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35152,7696384] |
[a1,a2,a3,a4,a6] |
Generators |
[675:16753:1] |
Generators of the group modulo torsion |
j |
-4803890892670577161/22906688895164160 |
j-invariant |
L |
3.4288441132053 |
L(r)(E,1)/r! |
Ω |
0.33032458595605 |
Real period |
R |
5.1901133899575 |
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 |
104880dd1 39330bp1 65550cj1 |
Quadratic twists by: -4 -3 5 |