Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334r |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2095104 |
Modular degree for the optimal curve |
Δ |
2544972270697547776 = 211 · 319 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 -3 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-436314,-80125084] |
[a1,a2,a3,a4,a6] |
Generators |
[-66880:93022:125] |
Generators of the group modulo torsion |
j |
347428927/96256 |
j-invariant |
L |
14.235643980739 |
L(r)(E,1)/r! |
Ω |
0.18964027804361 |
Real period |
R |
3.4121165215964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334u1 |
Quadratic twists by: -31 |