Atkin-Lehner |
2+ 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350bm |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-70912800000000 = -1 · 211 · 33 · 58 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8424,-274202] |
[a1,a2,a3,a4,a6] |
j |
169275014375/181536768 |
j-invariant |
L |
1.9986764568079 |
L(r)(E,1)/r! |
Ω |
0.333112741822 |
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 |
70350cg1 |
Quadratic twists by: 5 |