Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cg |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
296 |
Product of Tamagawa factors cp |
deg |
29836800 |
Modular degree for the optimal curve |
Δ |
-4.1609948170751E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 1 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143418980,-668295519353] |
[a1,a2,a3,a4,a6] |
Generators |
[85573:24729821:1] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
12.391882382532 |
L(r)(E,1)/r! |
Ω |
0.021796572578554 |
Real period |
R |
1.9206904052666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999257673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150g1 5166a1 |
Quadratic twists by: -3 5 |