Atkin-Lehner |
2+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646a |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1506872862992 = -1 · 24 · 78 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 5 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2865,-1326] |
[a1,a2,a3,a4,a6] |
j |
451368407/261392 |
j-invariant |
L |
2.0201158022957 |
L(r)(E,1)/r! |
Ω |
0.50502895017833 |
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 |
51646j1 |
Quadratic twists by: -7 |