Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40293g |
Isogeny class |
Conductor |
40293 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-4215006628868277 = -1 · 312 · 118 · 37 |
Discriminant |
Eigenvalues |
1 3- 0 -4 11- 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21213,-2893698] |
[a1,a2,a3,a4,a6] |
Generators |
[1075362:13631424:6859] |
Generators of the group modulo torsion |
j |
6755375/26973 |
j-invariant |
L |
4.6176266855131 |
L(r)(E,1)/r! |
Ω |
0.22204569594593 |
Real period |
R |
10.397919819697 |
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 |
13431d1 40293h1 |
Quadratic twists by: -3 -11 |