Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498c |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
885144822388092 = 22 · 32 · 7 · 378 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-201271,-34809719] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:301:1] |
Generators of the group modulo torsion |
j |
351447414193/344988 |
j-invariant |
L |
3.325174982483 |
L(r)(E,1)/r! |
Ω |
0.22541331570371 |
Real period |
R |
3.6878644149113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554g2 |
Quadratic twists by: 37 |