Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320be |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-8115978240 = -1 · 222 · 32 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-440,5460] |
[a1,a2,a3,a4,a6] |
Generators |
[28:126:1] |
Generators of the group modulo torsion |
j |
-2305199161/1981440 |
j-invariant |
L |
5.5907298912605 |
L(r)(E,1)/r! |
Ω |
1.2003839646052 |
Real period |
R |
2.3287256645 |
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 |
1290a1 41280bw1 30960bj1 51600bl1 |
Quadratic twists by: -4 8 -3 5 |