Atkin-Lehner |
2- 3- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010ca |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-224253930240 = -1 · 28 · 311 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -3 -2 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,193,-22809] |
[a1,a2,a3,a4,a6] |
Generators |
[29:66:1] |
Generators of the group modulo torsion |
j |
1095912791/307618560 |
j-invariant |
L |
12.380105653967 |
L(r)(E,1)/r! |
Ω |
0.46739433683086 |
Real period |
R |
0.82773425130661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670c1 |
Quadratic twists by: -3 |