Atkin-Lehner |
2+ 7+ 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144c |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
291072 |
Modular degree for the optimal curve |
Δ |
-487600453458944 = -1 · 210 · 7 · 173 · 614 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1541,-1062150] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1530:1] |
Generators of the group modulo torsion |
j |
395213409468/476172317831 |
j-invariant |
L |
8.2274462572774 |
L(r)(E,1)/r! |
Ω |
0.24407600957341 |
Real period |
R |
2.8090451148049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58072c1 |
Quadratic twists by: -4 |