Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45152a |
Isogeny class |
Conductor |
45152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28032 |
Modular degree for the optimal curve |
Δ |
-39814672384 = -1 · 212 · 17 · 833 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,184,9552] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:89:1] |
Generators of the group modulo torsion |
j |
168196608/9720379 |
j-invariant |
L |
6.1410940330193 |
L(r)(E,1)/r! |
Ω |
0.87440346796967 |
Real period |
R |
3.5115906203322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45152d1 90304d1 |
Quadratic twists by: -4 8 |