Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992o |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
574560 |
Modular degree for the optimal curve |
Δ |
-9153632874366830592 = -1 · 211 · 36 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -3 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-390963,-173326930] |
[a1,a2,a3,a4,a6] |
Generators |
[64644602938224736890071629412686474116009718510:-19491125365837199352386384794466955721783070737670:711053606616010057655795685344931499974389] |
Generators of the group modulo torsion |
j |
-722 |
j-invariant |
L |
6.8753268130577 |
L(r)(E,1)/r! |
Ω |
0.090862750617592 |
Real period |
R |
75.667165767338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984bb1 2888e1 25992ba1 |
Quadratic twists by: -4 -3 -19 |