Atkin-Lehner |
5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4505a |
Isogeny class |
Conductor |
4505 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1695060783025 = -1 · 52 · 176 · 532 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 -2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27119,1717767] |
[a1,a2,a3,a4,a6] |
Generators |
[35:883:1] [459:9045:1] |
Generators of the group modulo torsion |
j |
-2205574360430145769/1695060783025 |
j-invariant |
L |
4.0361041044245 |
L(r)(E,1)/r! |
Ω |
0.83361557380065 |
Real period |
R |
0.80694751699172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080e2 40545i2 22525f2 76585b2 |
Quadratic twists by: -4 -3 5 17 |