Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240cc |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-1501470095040 = -1 · 26 · 36 · 5 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -6 -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65658,-6475862] |
[a1,a2,a3,a4,a6] |
Generators |
[857:23805:1] |
Generators of the group modulo torsion |
j |
-670933008285184/32181715 |
j-invariant |
L |
3.0592381427834 |
L(r)(E,1)/r! |
Ω |
0.14912360594653 |
Real period |
R |
2.0514781166266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66240bj1 33120t1 7360i1 |
Quadratic twists by: -4 8 -3 |