Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800cf |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-201183043750000 = -1 · 24 · 58 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16658,1078187] |
[a1,a2,a3,a4,a6] |
j |
-2044929535744/804732175 |
j-invariant |
L |
5.3003280978161 |
L(r)(E,1)/r! |
Ω |
0.53003280556147 |
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 |
24700i1 19760o1 |
Quadratic twists by: -4 5 |