Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525by |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
1350357988259765625 = 3 · 59 · 77 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-283001,-15254977] |
[a1,a2,a3,a4,a6] |
Generators |
[-11656143946:-123809732823:26463592] |
Generators of the group modulo torsion |
j |
1363569097969/734582625 |
j-invariant |
L |
10.531838997392 |
L(r)(E,1)/r! |
Ω |
0.22041119872537 |
Real period |
R |
11.94567138488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905q1 12075c1 |
Quadratic twists by: 5 -7 |