Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bn |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
572 |
Product of Tamagawa factors cp |
deg |
457600 |
Modular degree for the optimal curve |
Δ |
-6812683295717376 = -1 · 211 · 313 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200717,34822161] |
[a1,a2,a3,a4,a6] |
Generators |
[226:895:1] |
Generators of the group modulo torsion |
j |
-894285767388768389713/6812683295717376 |
j-invariant |
L |
8.8290163037411 |
L(r)(E,1)/r! |
Ω |
0.42307101980054 |
Real period |
R |
0.036484047514372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494p1 |
Quadratic twists by: -3 |