Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4305b |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
4068225 = 34 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3388,-77333] |
[a1,a2,a3,a4,a6] |
j |
4302830045045449/4068225 |
j-invariant |
L |
1.2514889949084 |
L(r)(E,1)/r! |
Ω |
0.62574449745418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880ca1 12915t1 21525w1 30135bf1 |
Quadratic twists by: -4 -3 5 -7 |