Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576bh |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-16903655424 = -1 · 212 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -3 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2451,47122] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-54:1] |
Generators of the group modulo torsion |
j |
-545338513/5661 |
j-invariant |
L |
8.3792579113594 |
L(r)(E,1)/r! |
Ω |
1.2393082541077 |
Real period |
R |
0.84515473553743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5661d1 30192bi1 |
Quadratic twists by: -4 -3 |