Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225bt |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4118400 |
Modular degree for the optimal curve |
Δ |
-3.7233313598499E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5175825,-8102258469] |
[a1,a2,a3,a4,a6] |
Generators |
[55698:4835953:8] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
12.106987494516 |
L(r)(E,1)/r! |
Ω |
0.059703900872236 |
Real period |
R |
4.6087240979836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4025e1 7245q1 |
Quadratic twists by: -3 5 |