Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305d |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1501175025 = 36 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-812,8379] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:101:1] |
Generators of the group modulo torsion |
j |
59323563117001/1501175025 |
j-invariant |
L |
3.8132694101343 |
L(r)(E,1)/r! |
Ω |
1.5059696837009 |
Real period |
R |
2.5321023732452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68880cw2 12915f2 21525ba2 30135y2 |
Quadratic twists by: -4 -3 5 -7 |