Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
8240i |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-43201331200 = -1 · 224 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,517,-8918] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1190:1] |
Generators of the group modulo torsion |
j |
3731087151/10547200 |
j-invariant |
L |
3.9025657332808 |
L(r)(E,1)/r! |
Ω |
0.58593270725765 |
Real period |
R |
3.3302166656186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1030c1 32960w1 74160bs1 41200y1 |
Quadratic twists by: -4 8 -3 5 |