Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248k |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
220160 |
Modular degree for the optimal curve |
Δ |
-1869603419376 = -1 · 24 · 37 · 75 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22179,1273039] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-833:1] [83:-63:1] |
Generators of the group modulo torsion |
j |
-103443232628992/160288359 |
j-invariant |
L |
9.2847209966789 |
L(r)(E,1)/r! |
Ω |
0.83292927231934 |
Real period |
R |
0.1393383764022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416s1 |
Quadratic twists by: -3 |