Atkin-Lehner |
5+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675r |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-40498046875 = -1 · 510 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
-1 -2 5+ 3 11- 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,812,3867] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:39:1] |
Generators of the group modulo torsion |
j |
3789119879/2591875 |
j-invariant |
L |
2.5975397105608 |
L(r)(E,1)/r! |
Ω |
0.72341128756504 |
Real period |
R |
1.7953408734334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735q1 |
Quadratic twists by: 5 |