Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800cj |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1952288000000000 = 214 · 59 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7209875,7451431250] |
[a1,a2,a3,a4,a6] |
Generators |
[1721:11856:1] |
Generators of the group modulo torsion |
j |
5181039829561653/244036 |
j-invariant |
L |
4.4216949581359 |
L(r)(E,1)/r! |
Ω |
0.34867921871396 |
Real period |
R |
1.5851586191547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350i2 98800cw2 |
Quadratic twists by: -4 5 |