Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620c |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-6326523209440000 = -1 · 28 · 54 · 78 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64941,7409359] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2850:1] |
Generators of the group modulo torsion |
j |
-20524048384/4286875 |
j-invariant |
L |
2.8299325621139 |
L(r)(E,1)/r! |
Ω |
0.40536641079265 |
Real period |
R |
1.1635286359734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74480w1 93100c1 18620l1 |
Quadratic twists by: -4 5 -7 |