Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305d |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
38745 = 33 · 5 · 7 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-807,8496] |
[a1,a2,a3,a4,a6] |
Generators |
[2320:1152:125] |
Generators of the group modulo torsion |
j |
58235112505081/38745 |
j-invariant |
L |
3.8132694101343 |
L(r)(E,1)/r! |
Ω |
3.0119393674017 |
Real period |
R |
5.0642047464904 |
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 |
68880cw1 12915f1 21525ba1 30135y1 |
Quadratic twists by: -4 -3 5 -7 |