Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bl |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-113553679827861504 = -1 · 218 · 33 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,110396,-7961584] |
[a1,a2,a3,a4,a6] |
Generators |
[680:19196:1] |
Generators of the group modulo torsion |
j |
25810662946943/19697762304 |
j-invariant |
L |
15.634824898655 |
L(r)(E,1)/r! |
Ω |
0.18583548152194 |
Real period |
R |
2.3370170650648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74382z1 |
Quadratic twists by: -7 |