Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050by |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
86005751203125000 = 23 · 32 · 59 · 13 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-606138,180836031] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:16707:1] |
Generators of the group modulo torsion |
j |
12609801579902093/44034944616 |
j-invariant |
L |
8.4659933916042 |
L(r)(E,1)/r! |
Ω |
0.34216890118304 |
Real period |
R |
1.3745637449053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150cu2 37050bg2 |
Quadratic twists by: -3 5 |