Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050k |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-33918750000000 = -1 · 27 · 34 · 511 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2001,282148] |
[a1,a2,a3,a4,a6] |
Generators |
[92:891:1] |
Generators of the group modulo torsion |
j |
-56667352321/2170800000 |
j-invariant |
L |
4.3337609780395 |
L(r)(E,1)/r! |
Ω |
0.5447835211036 |
Real period |
R |
0.49718842555804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400br1 30150ck1 2010f1 |
Quadratic twists by: -4 -3 5 |