Atkin-Lehner |
2+ 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698f |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-10726690464 = -1 · 25 · 33 · 7 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 5 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21945,-1245811] |
[a1,a2,a3,a4,a6] |
Generators |
[577:13051:1] |
Generators of the group modulo torsion |
j |
-43289028101697867/397284832 |
j-invariant |
L |
4.6649513817773 |
L(r)(E,1)/r! |
Ω |
0.1961256951509 |
Real period |
R |
5.9463796650838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40698bc1 |
Quadratic twists by: -3 |