Atkin-Lehner |
2+ 3+ 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550h |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
218606701070095200 = 25 · 39 · 52 · 173 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205245,27751005] |
[a1,a2,a3,a4,a6] |
Generators |
[91:3091:1] |
Generators of the group modulo torsion |
j |
38247650985845446465/8744268042803808 |
j-invariant |
L |
4.7928767217761 |
L(r)(E,1)/r! |
Ω |
0.29685526576383 |
Real period |
R |
1.3454583364267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550cl1 |
Quadratic twists by: 5 |