Atkin-Lehner |
3- 5+ 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88245c |
Isogeny class |
Conductor |
88245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
893480625 = 36 · 54 · 37 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-293,1356] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:51:1] |
Generators of the group modulo torsion |
j |
3803721481/1225625 |
j-invariant |
L |
2.793693375584 |
L(r)(E,1)/r! |
Ω |
1.4557325391927 |
Real period |
R |
1.9190979891106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999532393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9805c1 |
Quadratic twists by: -3 |