Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270h |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
57178374400 = 28 · 52 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1677,-23371] |
[a1,a2,a3,a4,a6] |
j |
521290837924641/57178374400 |
j-invariant |
L |
3.005569741764 |
L(r)(E,1)/r! |
Ω |
0.751392435441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34160bd2 38430g2 21350g2 29890m2 |
Quadratic twists by: -4 -3 5 -7 |