Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400b |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
64577296000000 = 210 · 56 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17275,783750] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1200:1] [14:738:1] |
Generators of the group modulo torsion |
j |
35633452068/4036081 |
j-invariant |
L |
9.351343548422 |
L(r)(E,1)/r! |
Ω |
0.60053652757043 |
Real period |
R |
7.7858241081985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114800m2 2296b2 |
Quadratic twists by: -4 5 |