Atkin-Lehner |
3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489h |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-2135388987 = -1 · 310 · 292 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 -2 -1 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,97,2225] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] |
Generators of the group modulo torsion |
j |
118784000/2539107 |
j-invariant |
L |
4.1526246629428 |
L(r)(E,1)/r! |
Ω |
1.0967357682845 |
Real period |
R |
0.37863493033453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998813881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489b1 |
Quadratic twists by: 29 |