Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600cu |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
4.49360953344E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47439675,73586854250] |
[a1,a2,a3,a4,a6] |
Generators |
[32008843615:-27655687897088:42875] |
Generators of the group modulo torsion |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
3.9724387131595 |
L(r)(E,1)/r! |
Ω |
0.070673353897484 |
Real period |
R |
14.052109145823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999559067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950bt1 111600ct1 22320bb1 |
Quadratic twists by: -4 -3 5 |