Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400b |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7563418912000000 = -1 · 211 · 56 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23725,3940750] |
[a1,a2,a3,a4,a6] |
Generators |
[214:4338:1] [-430:12675:8] |
Generators of the group modulo torsion |
j |
46152198846/236356841 |
j-invariant |
L |
9.351343548422 |
L(r)(E,1)/r! |
Ω |
0.30026826378522 |
Real period |
R |
31.143296432794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800m3 2296b4 |
Quadratic twists by: -4 5 |