Atkin-Lehner |
2+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304d |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-2938555749369856 = -1 · 211 · 78 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 11- -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69400,7527948] |
[a1,a2,a3,a4,a6] |
j |
-3131079602/248897 |
j-invariant |
L |
1.7701703474773 |
L(r)(E,1)/r! |
Ω |
0.44254258695328 |
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 |
73304v1 |
Quadratic twists by: -7 |