Atkin-Lehner |
3+ 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305d |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4511109375 = 33 · 56 · 172 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-459,2090] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:82:1] |
Generators of the group modulo torsion |
j |
396579370923/167078125 |
j-invariant |
L |
5.2624307462425 |
L(r)(E,1)/r! |
Ω |
1.2449671474762 |
Real period |
R |
0.70449392405125 |
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 |
28305b2 |
Quadratic twists by: -3 |