Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898b |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12384 |
Modular degree for the optimal curve |
Δ |
-76029382 = -1 · 2 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11+ 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-116,-610] |
[a1,a2,a3,a4,a6] |
Generators |
[134:285:8] |
Generators of the group modulo torsion |
j |
-4563/2 |
j-invariant |
L |
4.7393810214811 |
L(r)(E,1)/r! |
Ω |
0.71192248968299 |
Real period |
R |
3.3285793679481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898bc1 40898bd1 |
Quadratic twists by: -11 13 |