Atkin-Lehner |
2+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384b |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
5851432296284432 = 24 · 115 · 134 · 433 |
Discriminant |
Eigenvalues |
2+ 2 -4 5 11+ 13- 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138000,-19339609] |
[a1,a2,a3,a4,a6] |
j |
18165365296445952256/365714518517777 |
j-invariant |
L |
3.9680845781155 |
L(r)(E,1)/r! |
Ω |
0.24800528962742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49192c1 |
Quadratic twists by: -4 |