Atkin-Lehner |
3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10251a |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2346853689 = -1 · 33 · 172 · 673 |
Discriminant |
Eigenvalues |
1 3+ -1 1 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60,2309] |
[a1,a2,a3,a4,a6] |
Generators |
[4:49:1] |
Generators of the group modulo torsion |
j |
876467493/86920507 |
j-invariant |
L |
4.9464934680957 |
L(r)(E,1)/r! |
Ω |
1.1149976913463 |
Real period |
R |
1.1090815493355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10251c1 |
Quadratic twists by: -3 |