Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434m |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-18986752512 = -1 · 29 · 36 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-352737,-80547075] |
[a1,a2,a3,a4,a6] |
Generators |
[8975440362742650:637402487094004825:1730593296216] |
Generators of the group modulo torsion |
j |
-6658094075293284625/26044928 |
j-invariant |
L |
5.1172502858427 |
L(r)(E,1)/r! |
Ω |
0.097950520234872 |
Real period |
R |
26.121608509951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826l1 |
Quadratic twists by: -3 |