Atkin-Lehner |
2- 3- 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434k |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
143 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
-2523616321536 = -1 · 213 · 311 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -4 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16812,841104] |
[a1,a2,a3,a4,a6] |
Generators |
[72:36:1] |
Generators of the group modulo torsion |
j |
-525513008099696833/2523616321536 |
j-invariant |
L |
6.1132327567401 |
L(r)(E,1)/r! |
Ω |
0.81719558871356 |
Real period |
R |
0.052312910162743 |
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 |
83472n1 31302h1 |
Quadratic twists by: -4 -3 |