Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bi |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-250371173008000 = -1 · 27 · 53 · 118 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -6 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7162,-794439] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-2521:1] |
Generators of the group modulo torsion |
j |
-22930509321/141328000 |
j-invariant |
L |
9.0486573310591 |
L(r)(E,1)/r! |
Ω |
0.23180377538201 |
Real period |
R |
0.9294249914759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030e1 |
Quadratic twists by: -11 |