Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gi |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
36495360 |
Modular degree for the optimal curve |
Δ |
-2.0795849766003E+26 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27074733,-691697282542] |
[a1,a2,a3,a4,a6] |
Generators |
[128153:45907072:1] |
Generators of the group modulo torsion |
j |
15001431500460925919/1421324083670155776 |
j-invariant |
L |
6.2919537910418 |
L(r)(E,1)/r! |
Ω |
0.026728544940658 |
Real period |
R |
2.6750230982641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bd1 39984br1 119952dp1 |
Quadratic twists by: -4 -3 -7 |