Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
53664n |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-11502251062151616 = -1 · 26 · 37 · 13 · 436 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11406,5142456] |
[a1,a2,a3,a4,a6] |
Generators |
[21:2322:1] [138:3060:1] |
Generators of the group modulo torsion |
j |
2563927634964032/179722672846119 |
j-invariant |
L |
9.4037349992989 |
L(r)(E,1)/r! |
Ω |
0.30748584823176 |
Real period |
R |
1.4563171193198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664c1 107328f2 |
Quadratic twists by: -4 8 |