Atkin-Lehner |
2+ 3+ 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170c |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-800498162160 = -1 · 24 · 39 · 5 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1875,29141] |
[a1,a2,a3,a4,a6] |
Generators |
[50:471:1] |
Generators of the group modulo torsion |
j |
37025927037/40669520 |
j-invariant |
L |
4.7991952188039 |
L(r)(E,1)/r! |
Ω |
0.59413399432669 |
Real period |
R |
2.0194077702571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170v1 |
Quadratic twists by: -3 |