Atkin-Lehner |
2+ 3- 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130x |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
60569600 |
Modular degree for the optimal curve |
Δ |
-2.3889207730803E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -2 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-555264999,-5036064982695] |
[a1,a2,a3,a4,a6] |
Generators |
[426756:278137047:1] |
Generators of the group modulo torsion |
j |
-25971502810712219769552210289/327698322781940887500 |
j-invariant |
L |
3.762191575583 |
L(r)(E,1)/r! |
Ω |
0.015550492764705 |
Real period |
R |
6.0483476602086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000304193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710bf1 |
Quadratic twists by: -3 |