Atkin-Lehner |
2+ 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70434o |
Isogeny class |
Conductor |
70434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-12835044698112 = -1 · 211 · 36 · 7 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -5 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6021,-247595] |
[a1,a2,a3,a4,a6] |
Generators |
[633:15472:1] |
Generators of the group modulo torsion |
j |
-33116363266897/17606371328 |
j-invariant |
L |
4.8639221678777 |
L(r)(E,1)/r! |
Ω |
0.26439980465286 |
Real period |
R |
4.5990220887304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826m1 |
Quadratic twists by: -3 |