Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342z |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
4.9389616268213E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123574338,-528737521212] |
[a1,a2,a3,a4,a6] |
j |
88506348541062171875/2094601863168 |
j-invariant |
L |
3.8036222942229 |
L(r)(E,1)/r! |
Ω |
0.045281217788367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bo1 37026d1 12342g1 |
Quadratic twists by: -4 -3 -11 |