Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640bb |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-20028565760 = -1 · 28 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1940,-32948] |
[a1,a2,a3,a4,a6] |
Generators |
[57:196:1] |
Generators of the group modulo torsion |
j |
-3155824042576/78236585 |
j-invariant |
L |
4.0964737944022 |
L(r)(E,1)/r! |
Ω |
0.3591404955507 |
Real period |
R |
1.6294752313022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2660d1 42560cj1 95760dw1 53200bs1 |
Quadratic twists by: -4 8 -3 5 |