Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898f |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-5780466927301924 = -1 · 22 · 116 · 138 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16615,-3568031] |
[a1,a2,a3,a4,a6] |
Generators |
[465:9992:1] [180:2197:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
5.4732589694954 |
L(r)(E,1)/r! |
Ω |
0.20989130383454 |
Real period |
R |
2.1730529364101 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338b1 40898bg1 |
Quadratic twists by: -11 13 |