Atkin-Lehner |
2+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
53960b |
Isogeny class |
Conductor |
53960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
2274751250000 = 24 · 57 · 192 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26491,-1649184] |
[a1,a2,a3,a4,a6] |
Generators |
[-567719619:221452847:6128487] |
Generators of the group modulo torsion |
j |
128503566517356544/142171953125 |
j-invariant |
L |
9.1298436534376 |
L(r)(E,1)/r! |
Ω |
0.37424193492351 |
Real period |
R |
12.197782772853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107920f1 |
Quadratic twists by: -4 |