Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224p |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
10707271255296 = 28 · 35 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49169,4177179] |
[a1,a2,a3,a4,a6] |
j |
51353104853128192/41825278341 |
j-invariant |
L |
3.577168065868 |
L(r)(E,1)/r! |
Ω |
0.71543361711831 |
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 |
35112t1 |
Quadratic twists by: -4 |