Atkin-Lehner |
2+ 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40698g |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-113489410120482816 = -1 · 227 · 39 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -3 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26796,-16126768] |
[a1,a2,a3,a4,a6] |
Generators |
[12279:249952:27] |
Generators of the group modulo torsion |
j |
108101870903853/5765859377152 |
j-invariant |
L |
4.5692032214207 |
L(r)(E,1)/r! |
Ω |
0.15923986120017 |
Real period |
R |
7.1734601923515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40698z1 |
Quadratic twists by: -3 |