Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200ca |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-312000000000 = -1 · 212 · 3 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 1 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,467,-26437] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2700:1] |
Generators of the group modulo torsion |
j |
175616/4875 |
j-invariant |
L |
5.0652282943413 |
L(r)(E,1)/r! |
Ω |
0.46757511148809 |
Real period |
R |
2.7082431089098 |
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 |
31200bi1 62400fh1 93600bg1 6240e1 |
Quadratic twists by: -4 8 -3 5 |