Atkin-Lehner |
2- 3+ 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bk |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
228802560 |
Modular degree for the optimal curve |
Δ |
-3.8000827543235E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14148064343,-647732717482769] |
[a1,a2,a3,a4,a6] |
Generators |
[17969607449071316089:30778588233927533152922:6111423471187] |
Generators of the group modulo torsion |
j |
-15911953404372288653269298958603/193064205371310080000000 |
j-invariant |
L |
12.202258377718 |
L(r)(E,1)/r! |
Ω |
0.0069214165375986 |
Real period |
R |
27.546425374623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126990g1 |
Quadratic twists by: -3 |