Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cj |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
255528000 = 26 · 33 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193,-769] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
6362477477/2044224 |
j-invariant |
L |
6.2093832010369 |
L(r)(E,1)/r! |
Ω |
1.3134575127028 |
Real period |
R |
0.78791829211377 |
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 |
109200hb1 40950ct1 13650bm1 95550kv1 |
Quadratic twists by: -4 -3 5 -7 |