Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150db |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-3574771101562500000 = -1 · 25 · 313 · 512 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7751480,8309069147] |
[a1,a2,a3,a4,a6] |
j |
-4521994166332118449/313834500000 |
j-invariant |
L |
4.7473214752834 |
L(r)(E,1)/r! |
Ω |
0.23736607481671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050u1 25830p1 |
Quadratic twists by: -3 5 |