Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280t |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-212557824000 = -1 · 216 · 33 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,22576] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:120:1] [-18:160:1] |
Generators of the group modulo torsion |
j |
-7443468/120125 |
j-invariant |
L |
10.779586054208 |
L(r)(E,1)/r! |
Ω |
0.84375306286237 |
Real period |
R |
1.0646466097638 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dv1 11160a1 89280h1 |
Quadratic twists by: -4 8 -3 |