Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cq |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5195520 |
Modular degree for the optimal curve |
Δ |
5.9499014088525E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8472120,9417991650] |
[a1,a2,a3,a4,a6] |
Generators |
[-306390:29597335:216] |
Generators of the group modulo torsion |
j |
313731791659399201/2775672918750 |
j-invariant |
L |
12.853379635808 |
L(r)(E,1)/r! |
Ω |
0.16386555964256 |
Real period |
R |
2.614618891358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490be1 |
Quadratic twists by: -11 |