Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160k |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-348300000000000 = -1 · 211 · 34 · 511 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5504,882220] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1818:1] |
Generators of the group modulo torsion |
j |
9002230481662/170068359375 |
j-invariant |
L |
3.4244267453991 |
L(r)(E,1)/r! |
Ω |
0.40234648590199 |
Real period |
R |
4.2555693480485 |
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 |
10320j1 41280bo1 15480j1 25800n1 |
Quadratic twists by: -4 8 -3 5 |