Atkin-Lehner |
2+ 3+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650q |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15168 |
Modular degree for the optimal curve |
Δ |
-9738750 = -1 · 2 · 3 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 0 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,150] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
-25/15582 |
j-invariant |
L |
3.1028860569148 |
L(r)(E,1)/r! |
Ω |
1.8280750882821 |
Real period |
R |
0.28289192247209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650cy1 |
Quadratic twists by: 5 |