Atkin-Lehner |
2+ 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12354f |
Isogeny class |
Conductor |
12354 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1936221766483968 = -1 · 216 · 315 · 29 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 0 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15693,-2249528] |
[a1,a2,a3,a4,a6] |
Generators |
[995:30606:1] |
Generators of the group modulo torsion |
j |
-427367855725976521/1936221766483968 |
j-invariant |
L |
3.2315008657997 |
L(r)(E,1)/r! |
Ω |
0.1934734881346 |
Real period |
R |
0.55675171086862 |
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 |
98832l1 37062l1 |
Quadratic twists by: -4 -3 |