Atkin-Lehner |
2- 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698bc |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-7819757348256 = -1 · 25 · 39 · 7 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197507,33834403] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-1030:1] |
Generators of the group modulo torsion |
j |
-43289028101697867/397284832 |
j-invariant |
L |
9.6717760276776 |
L(r)(E,1)/r! |
Ω |
0.66703514839422 |
Real period |
R |
0.24166082929211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40698f1 |
Quadratic twists by: -3 |