Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cu |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
37416960 |
Modular degree for the optimal curve |
Δ |
1.0852442179633E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-912714320,-10613602324332] |
[a1,a2,a3,a4,a6] |
Generators |
[-17444:1050:1] |
Generators of the group modulo torsion |
j |
20529026623048053352613449681/2649522016512000000 |
j-invariant |
L |
8.3829041738763 |
L(r)(E,1)/r! |
Ω |
0.027467291838753 |
Real period |
R |
1.2716494789476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330v1 |
Quadratic twists by: -4 |