Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cd |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
2676665517318144 = 213 · 36 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93677,10774613] |
[a1,a2,a3,a4,a6] |
Generators |
[267:-2312:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
11.036687276721 |
L(r)(E,1)/r! |
Ω |
0.45297617758136 |
Real period |
R |
0.23427720550828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566b1 4554h1 |
Quadratic twists by: -3 -11 |