Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150ca |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-39892336312500 = -1 · 22 · 33 · 56 · 73 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634580,194729547] |
[a1,a2,a3,a4,a6] |
Generators |
[413:1515:1] |
Generators of the group modulo torsion |
j |
-66988217452346091/94559612 |
j-invariant |
L |
10.447667851627 |
L(r)(E,1)/r! |
Ω |
0.54861977163163 |
Real period |
R |
1.586962452036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150a2 5166f1 |
Quadratic twists by: -3 5 |