Atkin-Lehner |
2+ 3+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110a |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-3822224448960 = -1 · 26 · 39 · 5 · 192 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3360,-57664] |
[a1,a2,a3,a4,a6] |
j |
213097102317/194189120 |
j-invariant |
L |
1.722293170651 |
L(r)(E,1)/r! |
Ω |
0.43057329089057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70110bc1 |
Quadratic twists by: -3 |