Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200da |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-35046400000000 = -1 · 216 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,-300063] |
[a1,a2,a3,a4,a6] |
Generators |
[3179319:5986000:35937] |
Generators of the group modulo torsion |
j |
-7086244/34225 |
j-invariant |
L |
9.5448014835805 |
L(r)(E,1)/r! |
Ω |
0.27088259553047 |
Real period |
R |
8.808983708383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bg2 14800d2 11840ba2 |
Quadratic twists by: -4 8 5 |