Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114i |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-11886690679464 = -1 · 23 · 3 · 178 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -5 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27317,1743368] |
[a1,a2,a3,a4,a6] |
Generators |
[13030:15531:125] |
Generators of the group modulo torsion |
j |
-93391282153/492456 |
j-invariant |
L |
8.9722439128839 |
L(r)(E,1)/r! |
Ω |
0.7182839245093 |
Real period |
R |
3.1228054838541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242c1 |
Quadratic twists by: 17 |