Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
66780d |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-2748664800000 = -1 · 28 · 33 · 55 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251352,-48503404] |
[a1,a2,a3,a4,a6] |
Generators |
[757:13965:1] |
Generators of the group modulo torsion |
j |
-254077974389219328/397665625 |
j-invariant |
L |
6.7599351706691 |
L(r)(E,1)/r! |
Ω |
0.10661024267278 |
Real period |
R |
3.1703966715022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66780b1 |
Quadratic twists by: -3 |