Atkin-Lehner |
3- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395o |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-26615656738125 = -1 · 33 · 54 · 74 · 134 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1001,248430] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-494:1] |
Generators of the group modulo torsion |
j |
-110931033861649/26615656738125 |
j-invariant |
L |
4.384398757029 |
L(r)(E,1)/r! |
Ω |
0.54439292409447 |
Real period |
R |
0.33557247616095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185be3 |
Quadratic twists by: -3 |