Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32480a |
Isogeny class |
Conductor |
32480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-25464320000 = -1 · 212 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 4 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,259,7595] |
[a1,a2,a3,a4,a6] |
Generators |
[77:700:1] |
Generators of the group modulo torsion |
j |
467288576/6216875 |
j-invariant |
L |
6.0818810200031 |
L(r)(E,1)/r! |
Ω |
0.88262359257574 |
Real period |
R |
0.57422373772553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32480f1 64960t1 |
Quadratic twists by: -4 8 |