Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bp |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5225472 |
Modular degree for the optimal curve |
Δ |
-4.5249045630532E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14661352,24099235988] |
[a1,a2,a3,a4,a6] |
Generators |
[1164018:242679808:27] |
Generators of the group modulo torsion |
j |
3403656999841015798655/4418852112356605952 |
j-invariant |
L |
6.3499700261482 |
L(r)(E,1)/r! |
Ω |
0.063099000948837 |
Real period |
R |
2.0965631819582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8050f1 64400ce1 |
Quadratic twists by: -4 5 |