Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550ec |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1120762919882812500 = 22 · 37 · 510 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-261230,-6762103] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:5553:1] |
Generators of the group modulo torsion |
j |
173078750185489/98393452500 |
j-invariant |
L |
8.6706278670561 |
L(r)(E,1)/r! |
Ω |
0.22815787432487 |
Real period |
R |
2.3751721948731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850bb3 23310bb3 |
Quadratic twists by: -3 5 |