Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800ci |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1543750000 = -1 · 24 · 58 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,242,-1137] |
[a1,a2,a3,a4,a6] |
j |
6243584/6175 |
j-invariant |
L |
1.640093303949 |
L(r)(E,1)/r! |
Ω |
0.82004660631579 |
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 |
24700g1 19760w1 |
Quadratic twists by: -4 5 |