Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gg |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-7079335450051608576 = -1 · 219 · 39 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,387933,-87967838] |
[a1,a2,a3,a4,a6] |
Generators |
[6321:504896:1] |
Generators of the group modulo torsion |
j |
53582633/58752 |
j-invariant |
L |
6.6919989977385 |
L(r)(E,1)/r! |
Ω |
0.12743070567916 |
Real period |
R |
3.2821754350281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994bc1 39984dc1 119952ey1 |
Quadratic twists by: -4 -3 -7 |