Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496h |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-137866638056112 = -1 · 24 · 39 · 76 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413,565068] |
[a1,a2,a3,a4,a6] |
Generators |
[88266:9270963:8] |
Generators of the group modulo torsion |
j |
-488095744000/8616664878507 |
j-invariant |
L |
4.024052468954 |
L(r)(E,1)/r! |
Ω |
0.46552728062576 |
Real period |
R |
8.6440744429518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5124c1 81984cf1 61488y1 |
Quadratic twists by: -4 8 -3 |