Atkin-Lehner |
2- 3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350cg |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-5424634800 = -1 · 24 · 39 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7,-3543] |
[a1,a2,a3,a4,a6] |
Generators |
[16:19:1] |
Generators of the group modulo torsion |
j |
1503815/216985392 |
j-invariant |
L |
13.163962387267 |
L(r)(E,1)/r! |
Ω |
0.62391554382463 |
Real period |
R |
0.58608192276675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103350i1 |
Quadratic twists by: 5 |