Atkin-Lehner |
2- 3- 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434x |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1186672032 = -1 · 25 · 36 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -3 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,-1479] |
[a1,a2,a3,a4,a6] |
Generators |
[15:57:1] |
Generators of the group modulo torsion |
j |
697864103/1627808 |
j-invariant |
L |
10.747666471379 |
L(r)(E,1)/r! |
Ω |
0.79705289299425 |
Real period |
R |
1.3484257524717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826a1 |
Quadratic twists by: -3 |