Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640cf |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
-2366000 = -1 · 24 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 4 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208,-1157] |
[a1,a2,a3,a4,a6] |
Generators |
[701:18556:1] |
Generators of the group modulo torsion |
j |
-368050176/875 |
j-invariant |
L |
4.1255478287305 |
L(r)(E,1)/r! |
Ω |
0.62848058926149 |
Real period |
R |
6.5643202197768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660d1 94640cn1 |
Quadratic twists by: -4 13 |