Atkin-Lehner |
3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15651b |
Isogeny class |
Conductor |
15651 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
-224350168713543 = -1 · 320 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3- -4 4 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5503,-704680] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3136:1] |
Generators of the group modulo torsion |
j |
25285334730551/307750574367 |
j-invariant |
L |
2.4871486508931 |
L(r)(E,1)/r! |
Ω |
0.27473840645935 |
Real period |
R |
4.5263941851921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5217a1 |
Quadratic twists by: -3 |