Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923i |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-13976366859 = -1 · 312 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ -2 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26211,1633338] |
[a1,a2,a3,a4,a6] |
Generators |
[98:76:1] |
Generators of the group modulo torsion |
j |
-2731787761881088/19171971 |
j-invariant |
L |
2.7731811378658 |
L(r)(E,1)/r! |
Ω |
1.1211750249626 |
Real period |
R |
0.61836490202732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641e1 97461r1 |
Quadratic twists by: -3 -7 |