Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bv |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
781958997277200 = 24 · 37 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100787,12267011] |
[a1,a2,a3,a4,a6] |
Generators |
[201:214:1] |
Generators of the group modulo torsion |
j |
3301293169/22800 |
j-invariant |
L |
8.6039466689179 |
L(r)(E,1)/r! |
Ω |
0.50674495179501 |
Real period |
R |
2.1223562855537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10830l1 1710h1 |
Quadratic twists by: -3 -19 |