Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23100q |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1562953218750000 = -1 · 24 · 310 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25167,-1129338] |
[a1,a2,a3,a4,a6] |
Generators |
[43976:659373:512] |
Generators of the group modulo torsion |
j |
56409309184/50014503 |
j-invariant |
L |
4.3339775349259 |
L(r)(E,1)/r! |
Ω |
0.26151160127588 |
Real period |
R |
8.2863963085786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400hw1 69300cm1 23100bg1 |
Quadratic twists by: -4 -3 5 |