Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40964b |
Isogeny class |
Conductor |
40964 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-3392839039744 = -1 · 28 · 78 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11- 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10976,-451388] |
[a1,a2,a3,a4,a6] |
Generators |
[588:14014:1] |
Generators of the group modulo torsion |
j |
-99090432/2299 |
j-invariant |
L |
7.3667837386221 |
L(r)(E,1)/r! |
Ω |
0.23289633671136 |
Real period |
R |
1.757287250781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40964i1 |
Quadratic twists by: -7 |