Atkin-Lehner |
3- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395n |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-421346319746625 = -1 · 34 · 53 · 77 · 133 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14749,-705894] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-6860:1] |
Generators of the group modulo torsion |
j |
354821231291606351/421346319746625 |
j-invariant |
L |
3.6856582592561 |
L(r)(E,1)/r! |
Ω |
0.28506373981842 |
Real period |
R |
0.15391955520794 |
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 |
94185bd1 |
Quadratic twists by: -3 |