Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800p |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2354566093750000 = -1 · 24 · 510 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 13- -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148175,22077625] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:6175:1] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
6.6852746117521 |
L(r)(E,1)/r! |
Ω |
0.46230087184046 |
Real period |
R |
0.80338188427852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400s1 19760h1 |
Quadratic twists by: -4 5 |