Atkin-Lehner |
2+ 5- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650l |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
383616 |
Modular degree for the optimal curve |
Δ |
-111343833370000 = -1 · 24 · 54 · 73 · 113 · 293 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11799,-118852] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1594:1] |
Generators of the group modulo torsion |
j |
290691416534375/178150133392 |
j-invariant |
L |
3.2770100307743 |
L(r)(E,1)/r! |
Ω |
0.34320413483199 |
Real period |
R |
0.53046014229209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999924341 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111650s1 |
Quadratic twists by: 5 |