Atkin-Lehner |
2- 3+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652g |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-7862173959024 = -1 · 24 · 33 · 79 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8361,323713] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:777:1] |
Generators of the group modulo torsion |
j |
-149628607969536/18199476757 |
j-invariant |
L |
8.9436023571378 |
L(r)(E,1)/r! |
Ω |
0.7181004371825 |
Real period |
R |
2.0757547521225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857338 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113652h2 |
Quadratic twists by: -3 |