Atkin-Lehner |
2+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
111296b |
Isogeny class |
Conductor |
111296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-39005241344 = -1 · 214 · 373 · 47 |
Discriminant |
Eigenvalues |
2+ 3 3 0 -2 -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256,9632] |
[a1,a2,a3,a4,a6] |
Generators |
[-1276424535:10466271251:100544625] |
Generators of the group modulo torsion |
j |
-113246208/2380691 |
j-invariant |
L |
15.365425875186 |
L(r)(E,1)/r! |
Ω |
0.96703415881431 |
Real period |
R |
15.889227560747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111296h1 6956a1 |
Quadratic twists by: -4 8 |