Atkin-Lehner |
2+ 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130i |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30364308000 = -1 · 25 · 38 · 53 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,225,-8339] |
[a1,a2,a3,a4,a6] |
Generators |
[17:5:1] |
Generators of the group modulo torsion |
j |
1723683599/41652000 |
j-invariant |
L |
4.176906679443 |
L(r)(E,1)/r! |
Ω |
0.5691563985606 |
Real period |
R |
1.8346919819963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998938901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710v1 |
Quadratic twists by: -3 |