Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304t |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
247812088832 = 210 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33467,-2356410] |
[a1,a2,a3,a4,a6] |
j |
34410094596/2057 |
j-invariant |
L |
0.70595481183219 |
L(r)(E,1)/r! |
Ω |
0.3529774135745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1496c1 |
Quadratic twists by: -7 |