Atkin-Lehner |
2+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10738d |
Isogeny class |
Conductor |
10738 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-12503057117824 = -1 · 27 · 73 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2418,-163648] |
[a1,a2,a3,a4,a6] |
Generators |
[950:10259:8] |
Generators of the group modulo torsion |
j |
1564410650670503/12503057117824 |
j-invariant |
L |
3.0433533916085 |
L(r)(E,1)/r! |
Ω |
0.35311770929412 |
Real period |
R |
4.3092619139553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
85904p1 96642ch1 75166e1 |
Quadratic twists by: -4 -3 -7 |