Atkin-Lehner |
5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5075a |
Isogeny class |
Conductor |
5075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2299609375 = -1 · 58 · 7 · 292 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-2427] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:11857:27] |
Generators of the group modulo torsion |
j |
-24137569/147175 |
j-invariant |
L |
2.954277842789 |
L(r)(E,1)/r! |
Ω |
0.60913868419173 |
Real period |
R |
4.8499264936836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200bm1 45675q1 1015a1 35525e1 |
Quadratic twists by: -4 -3 5 -7 |