Atkin-Lehner |
2- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40480h |
Isogeny class |
Conductor |
40480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-342622720 = -1 · 29 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ 4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7307,240414] |
[a1,a2,a3,a4,a6] |
Generators |
[29:230:1] [50:8:1] |
Generators of the group modulo torsion |
j |
-84269627303688/669185 |
j-invariant |
L |
8.7203151537898 |
L(r)(E,1)/r! |
Ω |
1.5328238283463 |
Real period |
R |
0.94817540808523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40480d1 80960l1 |
Quadratic twists by: -4 8 |