Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bh |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
155707796800512 = 210 · 33 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17464,648932] |
[a1,a2,a3,a4,a6] |
Generators |
[854:-24684:1] [-56:1206:1] |
Generators of the group modulo torsion |
j |
324730948/85833 |
j-invariant |
L |
11.836288289399 |
L(r)(E,1)/r! |
Ω |
0.53894178387919 |
Real period |
R |
0.91508710860593 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368z1 8976j1 |
Quadratic twists by: -4 -11 |