Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25970q |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6235397000000 = -1 · 26 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143497,20863109] |
[a1,a2,a3,a4,a6] |
Generators |
[218:-129:1] [-22:4911:1] |
Generators of the group modulo torsion |
j |
-2777593363840009/53000000 |
j-invariant |
L |
5.2753922240649 |
L(r)(E,1)/r! |
Ω |
0.69391658176553 |
Real period |
R |
0.31676431304866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850bv2 530a2 |
Quadratic twists by: 5 -7 |