Atkin-Lehner |
2+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43624d |
Isogeny class |
Conductor |
43624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
274944 |
Modular degree for the optimal curve |
Δ |
-6439131338752 = -1 · 211 · 74 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2800355,-1803714306] |
[a1,a2,a3,a4,a6] |
Generators |
[160690:22692229:8] |
Generators of the group modulo torsion |
j |
-1185858935567355899250/3144107099 |
j-invariant |
L |
5.1859267076562 |
L(r)(E,1)/r! |
Ω |
0.058353416233842 |
Real period |
R |
7.405917028737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248f1 |
Quadratic twists by: -4 |