Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905u |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-579731330115 = -1 · 34 · 5 · 76 · 233 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 2 2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1454,30265] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:305:8] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
11.173308375502 |
L(r)(E,1)/r! |
Ω |
0.62912924681479 |
Real period |
R |
4.4399892518392 |
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 |
50715bu1 84525t1 345e1 |
Quadratic twists by: -3 5 -7 |