Atkin-Lehner |
2- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40150bn |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
782080 |
Modular degree for the optimal curve |
Δ |
-878838557696000 = -1 · 213 · 53 · 115 · 732 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11- -6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263115,52032987] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:3210:1] [1755:-71542:1] |
Generators of the group modulo torsion |
j |
-16115692589499007701/7030708461568 |
j-invariant |
L |
8.3721122100828 |
L(r)(E,1)/r! |
Ω |
0.49132802708562 |
Real period |
R |
0.06553754274563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150t1 |
Quadratic twists by: 5 |