Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736cw |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
382543144161552 = 24 · 38 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18190,84691] |
[a1,a2,a3,a4,a6] |
j |
194081536/111537 |
j-invariant |
L |
0.9134934758161 |
L(r)(E,1)/r! |
Ω |
0.45674661655756 |
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 |
24684o1 98736cd1 |
Quadratic twists by: -4 -11 |