Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bv |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-21956961068640000 = -1 · 28 · 37 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30927,7430254] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3042:1] |
Generators of the group modulo torsion |
j |
-3631696/24375 |
j-invariant |
L |
8.1371498439359 |
L(r)(E,1)/r! |
Ω |
0.3286198166185 |
Real period |
R |
1.5475995011734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840ca1 40560t1 9360o1 |
Quadratic twists by: -4 -3 13 |