Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568q |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
17716566638068992 = 28 · 36 · 377 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-410700,-101103388] |
[a1,a2,a3,a4,a6] |
Generators |
[-122248:2738:343] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
5.7840272445177 |
L(r)(E,1)/r! |
Ω |
0.18861608479392 |
Real period |
R |
3.8332012139452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10952a1 2664c1 |
Quadratic twists by: -3 37 |