Atkin-Lehner |
2+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
88298n |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73472 |
Modular degree for the optimal curve |
Δ |
145434399628 = 22 · 79 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2966,-59636] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1639:1] |
Generators of the group modulo torsion |
j |
71473375/3604 |
j-invariant |
L |
5.0359153125261 |
L(r)(E,1)/r! |
Ω |
0.64898151225012 |
Real period |
R |
1.9399301907092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298d1 |
Quadratic twists by: -7 |