Atkin-Lehner |
2+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98686i |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
166445392891904 = 212 · 79 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14513,-256355] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:388:1] [466:9463:1] |
Generators of the group modulo torsion |
j |
8377795791/4124672 |
j-invariant |
L |
7.4081501834567 |
L(r)(E,1)/r! |
Ω |
0.45738188624202 |
Real period |
R |
16.196859574095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98686e1 |
Quadratic twists by: -7 |