Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736cc |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21340800 |
Modular degree for the optimal curve |
Δ |
-7.9171545375123E+23 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 11- 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1696864,-42801860352] |
[a1,a2,a3,a4,a6] |
Generators |
[112573216:64492326800:343] |
Generators of the group modulo torsion |
j |
9010188470393231/13201960638001752 |
j-invariant |
L |
6.5442031132391 |
L(r)(E,1)/r! |
Ω |
0.04164593049173 |
Real period |
R |
13.094923185699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342bc1 98736cv1 |
Quadratic twists by: -4 -11 |