Atkin-Lehner |
2+ 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88816a |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
487422208 = 28 · 74 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199,198] |
[a1,a2,a3,a4,a6] |
Generators |
[3702:43120:27] |
Generators of the group modulo torsion |
j |
3404418768/1903993 |
j-invariant |
L |
7.4757824766372 |
L(r)(E,1)/r! |
Ω |
1.4337117383859 |
Real period |
R |
5.2142856021446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44408a1 |
Quadratic twists by: -4 |