Atkin-Lehner |
17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
15317k |
Isogeny class |
Conductor |
15317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
21747949669 = 177 · 53 |
Discriminant |
Eigenvalues |
-2 1 -3 -2 0 -7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1252,-15930] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:29:1] [45:144:1] |
Generators of the group modulo torsion |
j |
8998912/901 |
j-invariant |
L |
3.3721588113444 |
L(r)(E,1)/r! |
Ω |
0.80772158240177 |
Real period |
R |
1.0437256118989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
901f1 |
Quadratic twists by: 17 |