Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698v |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
963072 |
Modular degree for the optimal curve |
Δ |
-1307797876702291968 = -1 · 211 · 324 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,91566,53954644] |
[a1,a2,a3,a4,a6] |
Generators |
[59:7688:1] |
Generators of the group modulo torsion |
j |
116465218041507551/1793961422088192 |
j-invariant |
L |
2.1464181084534 |
L(r)(E,1)/r! |
Ω |
0.20171525843099 |
Real period |
R |
5.3204158305782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566o1 |
Quadratic twists by: -3 |