Atkin-Lehner |
2+ 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610b |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-236485080 = -1 · 23 · 32 · 5 · 134 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2538,-50292] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4011:1] |
Generators of the group modulo torsion |
j |
-63342106009/8280 |
j-invariant |
L |
3.4452251949803 |
L(r)(E,1)/r! |
Ω |
0.336295433453 |
Real period |
R |
5.1223192301211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000184092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bx1 |
Quadratic twists by: 13 |