Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200d |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-550130227200 = -1 · 211 · 37 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1688,45132] |
[a1,a2,a3,a4,a6] |
j |
-10395091970/10744731 |
j-invariant |
L |
2.5187518862418 |
L(r)(E,1)/r! |
Ω |
0.83958396208062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400ba1 81600dl1 30600by1 10200bk1 |
Quadratic twists by: -4 8 -3 5 |