Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5808r |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-284476528410624 = -1 · 214 · 34 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11- -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26176,1829632] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2178:1] |
Generators of the group modulo torsion |
j |
-2259169/324 |
j-invariant |
L |
2.5664357619854 |
L(r)(E,1)/r! |
Ω |
0.53030352004095 |
Real period |
R |
0.40329667586517 |
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 |
726i1 23232do1 17424bs1 5808q1 |
Quadratic twists by: -4 8 -3 -11 |