Atkin-Lehner |
2- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107456d |
Isogeny class |
Conductor |
107456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
632700928 = 214 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220,-336] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] |
Generators of the group modulo torsion |
j |
71874000/38617 |
j-invariant |
L |
5.8678341975623 |
L(r)(E,1)/r! |
Ω |
1.3193484073227 |
Real period |
R |
2.2237621866498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107456a1 26864b1 |
Quadratic twists by: -4 8 |