Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680f |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.4990527444959E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607960,559897725] |
[a1,a2,a3,a4,a6] |
j |
64347918907136/388153407375 |
j-invariant |
L |
3.1772741694749 |
L(r)(E,1)/r! |
Ω |
0.1323864237286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360bn1 104040ca1 2040g1 |
Quadratic twists by: -4 -3 17 |