Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650be |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-828144000000 = -1 · 210 · 36 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7163,236817] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-491:1] |
Generators of the group modulo torsion |
j |
-2601311308777/53001216 |
j-invariant |
L |
7.5096679974458 |
L(r)(E,1)/r! |
Ω |
0.89226781810751 |
Real period |
R |
0.14027305563506 |
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 |
85200cc1 31950bb1 426b1 |
Quadratic twists by: -4 -3 5 |