Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bs |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
358875136000000000 = 227 · 59 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21851500,-39316050000] |
[a1,a2,a3,a4,a6] |
Generators |
[-915118191965750331125:29011007925810725697:339155702224609375] |
Generators of the group modulo torsion |
j |
2253707317528029/700928 |
j-invariant |
L |
4.4442427978509 |
L(r)(E,1)/r! |
Ω |
0.069827943066727 |
Real period |
R |
31.822810487235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200dt2 1850o2 59200bm2 |
Quadratic twists by: -4 8 5 |