Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774b |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-216382448420096 = -1 · 28 · 72 · 297 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 1 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85800,9692022] |
[a1,a2,a3,a4,a6] |
Generators |
[12:2937:1] |
Generators of the group modulo torsion |
j |
-117433042273/363776 |
j-invariant |
L |
2.905870631956 |
L(r)(E,1)/r! |
Ω |
0.56315982749193 |
Real period |
R |
0.32249621800279 |
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 |
94192bg1 105966bz1 82418b1 406c1 |
Quadratic twists by: -4 -3 -7 29 |