Atkin-Lehner |
2+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950n |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-7354187776000 = -1 · 222 · 53 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 4 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1952,-134144] |
[a1,a2,a3,a4,a6] |
Generators |
[8405:19256:125] |
Generators of the group modulo torsion |
j |
-6582309243021/58833502208 |
j-invariant |
L |
4.141196574194 |
L(r)(E,1)/r! |
Ω |
0.31448392841675 |
Real period |
R |
6.5841147989289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53950ba1 |
Quadratic twists by: 5 |