Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
101150n |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1713600 |
Modular degree for the optimal curve |
Δ |
-24415151043500000 = -1 · 25 · 56 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84442,-12050284] |
[a1,a2,a3,a4,a6] |
j |
-610929/224 |
j-invariant |
L |
3.7128258583184 |
L(r)(E,1)/r! |
Ω |
0.13751207673641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046t1 101150x1 |
Quadratic twists by: 5 17 |