Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168g |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1493590618195030784 = -1 · 28 · 1113 · 132 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-348641,98785117] |
[a1,a2,a3,a4,a6] |
Generators |
[2996:161051:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
2.9606706804584 |
L(r)(E,1)/r! |
Ω |
0.25388211185152 |
Real period |
R |
1.4576995297476 |
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 |
12584b1 100672cp1 2288a1 |
Quadratic twists by: -4 8 -11 |