Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736h |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7480843708048128 = -1 · 28 · 36 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25329,4449645] |
[a1,a2,a3,a4,a6] |
j |
-3962770432/16495083 |
j-invariant |
L |
1.4557551239446 |
L(r)(E,1)/r! |
Ω |
0.36393879963862 |
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 |
49368o1 8976c1 |
Quadratic twists by: -4 -11 |