Atkin-Lehner |
2+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
40150l |
Isogeny class |
Conductor |
40150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-58619000 = -1 · 23 · 53 · 11 · 732 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11+ -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59,328] |
[a1,a2,a3,a4,a6] |
Generators |
[8:32:1] |
Generators of the group modulo torsion |
j |
186169411/468952 |
j-invariant |
L |
3.2655297347459 |
L(r)(E,1)/r! |
Ω |
1.3826185126312 |
Real period |
R |
0.59046108975653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40150be1 |
Quadratic twists by: 5 |