Atkin-Lehner |
3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5313a |
Isogeny class |
Conductor |
5313 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-218558899251 = -1 · 32 · 73 · 11 · 235 |
Discriminant |
Eigenvalues |
2 3+ -3 7+ 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-162,-22453] |
[a1,a2,a3,a4,a6] |
Generators |
[330:1583:8] |
Generators of the group modulo torsion |
j |
-473093337088/218558899251 |
j-invariant |
L |
5.2994066067575 |
L(r)(E,1)/r! |
Ω |
0.44756401075535 |
Real period |
R |
1.1840555718083 |
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 |
85008ch1 15939e1 37191j1 58443m1 |
Quadratic twists by: -4 -3 -7 -11 |