Atkin-Lehner |
2+ 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150g |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9945600 |
Modular degree for the optimal curve |
Δ |
-5.7078118204047E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15935442,24756997716] |
[a1,a2,a3,a4,a6] |
Generators |
[2115:21549:1] |
Generators of the group modulo torsion |
j |
-1060796991033079077987/13529628018737152 |
j-invariant |
L |
5.9162654568661 |
L(r)(E,1)/r! |
Ω |
0.1355413950297 |
Real period |
R |
5.4561425804134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150cg1 5166u1 |
Quadratic twists by: -3 5 |