Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950de |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-3668281344000000 = -1 · 217 · 39 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18520,2743147] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-1735:1] |
Generators of the group modulo torsion |
j |
2284322013/11927552 |
j-invariant |
L |
10.059541274429 |
L(r)(E,1)/r! |
Ω |
0.31914866754781 |
Real period |
R |
0.92705654479451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40950j1 1638a1 |
Quadratic twists by: -3 5 |