Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350w |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
350170483260937500 = 22 · 38 · 58 · 7 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186526,-12297052] |
[a1,a2,a3,a4,a6] |
Generators |
[487:3281:1] |
Generators of the group modulo torsion |
j |
45932329342580689/22410910928700 |
j-invariant |
L |
5.7484699631509 |
L(r)(E,1)/r! |
Ω |
0.24133625780883 |
Real period |
R |
0.74435432114455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870n3 |
Quadratic twists by: 5 |