Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698r |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-248313498387444 = -1 · 22 · 36 · 7 · 173 · 195 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5970,-738568] |
[a1,a2,a3,a4,a6] |
Generators |
[74:286:1] |
Generators of the group modulo torsion |
j |
32275892242719/340622082836 |
j-invariant |
L |
3.2381007385102 |
L(r)(E,1)/r! |
Ω |
0.27333784902395 |
Real period |
R |
0.39488381016075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522i1 |
Quadratic twists by: -3 |