Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656f |
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 |
[52:240:1] |
Generators of the group modulo torsion |
j |
1271294679537/172304 |
j-invariant |
L |
6.7692271314386 |
L(r)(E,1)/r! |
Ω |
1.0960779658608 |
Real period |
R |
3.0879313981062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62656m1 1958a1 |
Quadratic twists by: -4 8 |