Atkin-Lehner |
2- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656m |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
45168459776 = 222 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 2 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14444,-668080] |
[a1,a2,a3,a4,a6] |
Generators |
[63364:590920:343] |
Generators of the group modulo torsion |
j |
1271294679537/172304 |
j-invariant |
L |
6.5650881253787 |
L(r)(E,1)/r! |
Ω |
0.4354930381904 |
Real period |
R |
7.5375351030967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656f1 15664f1 |
Quadratic twists by: -4 8 |