Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114268c |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13685760 |
Modular degree for the optimal curve |
Δ |
-3.1808149228053E+22 |
Discriminant |
Eigenvalues |
2- 3 3 7- 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1620136,-8617423612] |
[a1,a2,a3,a4,a6] |
Generators |
[106021716693255048:3382660337041013498:38576783748069] |
Generators of the group modulo torsion |
j |
-15615285306974208/1056112528980971 |
j-invariant |
L |
16.263837181271 |
L(r)(E,1)/r! |
Ω |
0.051546479349 |
Real period |
R |
26.293158761234 |
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 |
16324f1 |
Quadratic twists by: -7 |