Atkin-Lehner |
3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8325bd |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-16841266875 = -1 · 39 · 54 · 372 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -4 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,6556] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:92:1] [10:67:1] |
Generators of the group modulo torsion |
j |
-6553600/36963 |
j-invariant |
L |
4.5783543476175 |
L(r)(E,1)/r! |
Ω |
1.0670351870698 |
Real period |
R |
0.17878020031181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2775e1 8325s1 |
Quadratic twists by: -3 5 |