Atkin-Lehner |
3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8325p |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-19766541796875 = -1 · 33 · 58 · 374 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 -4 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6750,13906] |
[a1,a2,a3,a4,a6] |
Generators |
[250:4162:1] |
Generators of the group modulo torsion |
j |
3224862720/1874161 |
j-invariant |
L |
2.8057321320985 |
L(r)(E,1)/r! |
Ω |
0.41249176922507 |
Real period |
R |
0.28341294112056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8325o1 8325b1 |
Quadratic twists by: -3 5 |