Atkin-Lehner |
2- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800ch |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-90003200000000 = -1 · 214 · 58 · 73 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 4 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1792,454912] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2800:1] |
Generators of the group modulo torsion |
j |
397535/56252 |
j-invariant |
L |
5.7721239746308 |
L(r)(E,1)/r! |
Ω |
0.46455731057598 |
Real period |
R |
0.34513884978907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14350w1 114800bi1 |
Quadratic twists by: -4 5 |