Atkin-Lehner |
2- 3- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70434ba |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-21072679863161472 = -1 · 27 · 36 · 75 · 132 · 433 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 1 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,121,6984191] |
[a1,a2,a3,a4,a6] |
j |
270840023/28906282391168 |
j-invariant |
L |
4.2581361945883 |
L(r)(E,1)/r! |
Ω |
0.30415258506933 |
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 |
7826b1 |
Quadratic twists by: -3 |