Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390i |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-117164109928857600 = -1 · 218 · 3 · 52 · 76 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,113312,7508992] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2720:1] |
Generators of the group modulo torsion |
j |
1367594037332999/995878502400 |
j-invariant |
L |
3.9932638154832 |
L(r)(E,1)/r! |
Ω |
0.21136201545484 |
Real period |
R |
1.5744171624787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110h3 |
Quadratic twists by: -7 |