Atkin-Lehner |
2+ 3+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670c |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36062208 |
Modular degree for the optimal curve |
Δ |
-2.96314475805E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-688774065,-6957982155619] |
[a1,a2,a3,a4,a6] |
Generators |
[1040570007978725069:125884096859364660903:27508053749203] |
Generators of the group modulo torsion |
j |
-1835958151206147960872566083/150543350000000000000 |
j-invariant |
L |
4.1213389917907 |
L(r)(E,1)/r! |
Ω |
0.014734935053423 |
Real period |
R |
23.308206974605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122670bh1 |
Quadratic twists by: -3 |