Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gq |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-92237070021120000 = -1 · 212 · 319 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48525,14020850] |
[a1,a2,a3,a4,a6] |
Generators |
[1615:65610:1] |
Generators of the group modulo torsion |
j |
6771000575/49424013 |
j-invariant |
L |
6.2367498234992 |
L(r)(E,1)/r! |
Ω |
0.24663418598727 |
Real period |
R |
1.0536437855102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999468678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6975o1 37200ck1 111600ey1 |
Quadratic twists by: -4 -3 5 |