Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150x |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-348770556540000000 = -1 · 28 · 311 · 57 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,174708,-4206384] |
[a1,a2,a3,a4,a6] |
Generators |
[185160:5183103:512] |
Generators of the group modulo torsion |
j |
51774168853511/30619088640 |
j-invariant |
L |
5.3943185417085 |
L(r)(E,1)/r! |
Ω |
0.17758649840755 |
Real period |
R |
7.5939310835704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050bu1 25830bj1 |
Quadratic twists by: -3 5 |