Atkin-Lehner |
2- 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350cz |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-4532355000 = -1 · 23 · 34 · 54 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-388,-4408] |
[a1,a2,a3,a4,a6] |
Generators |
[26:44:1] |
Generators of the group modulo torsion |
j |
-10337340625/7251768 |
j-invariant |
L |
11.197107899195 |
L(r)(E,1)/r! |
Ω |
0.52167923041449 |
Real period |
R |
0.89431615281671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350f1 |
Quadratic twists by: 5 |