Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150cf |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-61992000000 = -1 · 29 · 33 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 5 6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-106955,-13436453] |
[a1,a2,a3,a4,a6] |
Generators |
[379:410:1] |
Generators of the group modulo torsion |
j |
-320729857537851/146944 |
j-invariant |
L |
12.556019229993 |
L(r)(E,1)/r! |
Ω |
0.13199868092773 |
Real period |
R |
2.6422863229821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150f1 5166e1 |
Quadratic twists by: -3 5 |