Atkin-Lehner |
2+ 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9010b |
Isogeny class |
Conductor |
9010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1153280 = 28 · 5 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] [20:67:1] |
Generators of the group modulo torsion |
j |
76711450249/1153280 |
j-invariant |
L |
2.8899926491899 |
L(r)(E,1)/r! |
Ω |
1.5578789695169 |
Real period |
R |
3.7101632485417 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080f1 81090bl1 45050l1 |
Quadratic twists by: -4 -3 5 |