Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984i |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7044976206576 = -1 · 24 · 39 · 75 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3861,-88209] |
[a1,a2,a3,a4,a6] |
Generators |
[27:189:1] [55:-539:1] |
Generators of the group modulo torsion |
j |
15185664/16807 |
j-invariant |
L |
8.7469754298396 |
L(r)(E,1)/r! |
Ω |
0.40286044957817 |
Real period |
R |
0.54280430351169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968d1 60984br1 60984bk1 |
Quadratic twists by: -4 -3 -11 |