Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350cy |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-7505801820000 = -1 · 25 · 34 · 54 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7788,-296208] |
[a1,a2,a3,a4,a6] |
Generators |
[462:-9966:1] |
Generators of the group modulo torsion |
j |
-83584357529425/12009282912 |
j-invariant |
L |
13.942973961609 |
L(r)(E,1)/r! |
Ω |
0.25209789737176 |
Real period |
R |
0.15363271042344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350f1 |
Quadratic twists by: 5 |