Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800bf |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
906240 |
Modular degree for the optimal curve |
Δ |
-254025800000000 = -1 · 29 · 58 · 74 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -5 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23875,-1613750] |
[a1,a2,a3,a4,a6] |
Generators |
[4818:113827:8] |
Generators of the group modulo torsion |
j |
-7525300680/1270129 |
j-invariant |
L |
3.3600908725303 |
L(r)(E,1)/r! |
Ω |
0.19027949837392 |
Real period |
R |
4.4146781150935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997727474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128800u1 128800o1 |
Quadratic twists by: -4 5 |