Atkin-Lehner |
3- 5+ 29- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
116145i |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
290880 |
Modular degree for the optimal curve |
Δ |
-1922594991435 = -1 · 311 · 5 · 293 · 89 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -1 -3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2787,-35262] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1174:1] |
Generators of the group modulo torsion |
j |
3284029804544/2637304515 |
j-invariant |
L |
1.0407594806028 |
L(r)(E,1)/r! |
Ω |
0.46159370185064 |
Real period |
R |
0.18789243847524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999989036511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38715c1 |
Quadratic twists by: -3 |