Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552d |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-238245916253184 = -1 · 210 · 34 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4528,-734820] |
[a1,a2,a3,a4,a6] |
Generators |
[15562:1941280:1] |
Generators of the group modulo torsion |
j |
415292/9639 |
j-invariant |
L |
4.6488446567025 |
L(r)(E,1)/r! |
Ω |
0.26977089986682 |
Real period |
R |
8.6162826660912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104bc1 2856d1 |
Quadratic twists by: -4 17 |