Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540g |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
695520 |
Modular degree for the optimal curve |
Δ |
-1.2492195741358E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2232635,-1115635775] |
[a1,a2,a3,a4,a6] |
Generators |
[555:17150:1] |
Generators of the group modulo torsion |
j |
4807693119590934708224/4879763961468046875 |
j-invariant |
L |
4.654345078734 |
L(r)(E,1)/r! |
Ω |
0.083291322273435 |
Real period |
R |
1.3304836199629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160cz1 46620q1 77700z1 108780bc1 |
Quadratic twists by: -4 -3 5 -7 |