Atkin-Lehner |
7- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
116081d |
Isogeny class |
Conductor |
116081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
2198746984609 = 79 · 232 · 103 |
Discriminant |
Eigenvalues |
-1 0 -2 7- -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3366,24476] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:329:1] [3:118:1] |
Generators of the group modulo torsion |
j |
104487111/54487 |
j-invariant |
L |
6.254016155863 |
L(r)(E,1)/r! |
Ω |
0.72311764342151 |
Real period |
R |
8.6486842247297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116081c1 |
Quadratic twists by: -7 |