Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920m |
Isogeny class |
Conductor |
5920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
2368000000 = 212 · 56 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -1 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-685,6725] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:100:1] |
Generators of the group modulo torsion |
j |
8690991616/578125 |
j-invariant |
L |
3.4334825863194 |
L(r)(E,1)/r! |
Ω |
1.4265878129206 |
Real period |
R |
0.20056497487819 |
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 |
5920l1 11840bb1 53280j1 29600c1 |
Quadratic twists by: -4 8 -3 5 |