Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923g |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
16622098857 = 37 · 7 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-918,8959] |
[a1,a2,a3,a4,a6] |
Generators |
[30:73:1] |
Generators of the group modulo torsion |
j |
117433042273/22801233 |
j-invariant |
L |
4.1311157968877 |
L(r)(E,1)/r! |
Ω |
1.1723900676601 |
Real period |
R |
3.5236700743574 |
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 |
4641a1 97461k1 |
Quadratic twists by: -3 -7 |