Atkin-Lehner |
2+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400p |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
93120 |
Modular degree for the optimal curve |
Δ |
-35543750000 = -1 · 24 · 58 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 11- 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-8963] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-275:1] |
Generators of the group modulo torsion |
j |
439040/5687 |
j-invariant |
L |
2.3146225761707 |
L(r)(E,1)/r! |
Ω |
0.56883651576582 |
Real period |
R |
0.33908726258922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998801917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103400bh1 |
Quadratic twists by: 5 |