Atkin-Lehner |
3- 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
60705c |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
154880 |
Modular degree for the optimal curve |
Δ |
-544406499646875 = -1 · 317 · 55 · 19 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -3 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26868,-2033136] |
[a1,a2,a3,a4,a6] |
Generators |
[7386:634608:1] |
Generators of the group modulo torsion |
j |
-2942403325198336/746785321875 |
j-invariant |
L |
3.2826738281439 |
L(r)(E,1)/r! |
Ω |
0.18399637794517 |
Real period |
R |
8.9204849155659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20235m1 |
Quadratic twists by: -3 |