Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5390p |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-48721330947520 = -1 · 26 · 5 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44762,-3679276] |
[a1,a2,a3,a4,a6] |
Generators |
[10488289545:-100269569809:36926037] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
4.1867893877273 |
L(r)(E,1)/r! |
Ω |
0.16406401208354 |
Real period |
R |
12.759621487238 |
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 |
43120cu1 48510dj1 26950cj1 770b1 |
Quadratic twists by: -4 -3 5 -7 |