Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bo |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-195809646240 = -1 · 25 · 34 · 5 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1264,-11887] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] [27:-221:1] |
Generators of the group modulo torsion |
j |
7819339151/6855840 |
j-invariant |
L |
13.960492637243 |
L(r)(E,1)/r! |
Ω |
0.5535011853769 |
Real period |
R |
1.2611077450802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610l1 |
Quadratic twists by: 13 |