Atkin-Lehner |
5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325l |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46440 |
Modular degree for the optimal curve |
Δ |
17705078125 = 510 · 72 · 37 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 3 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1458,20943] |
[a1,a2,a3,a4,a6] |
Generators |
[9032:10005:512] |
Generators of the group modulo torsion |
j |
716800/37 |
j-invariant |
L |
8.8280550948861 |
L(r)(E,1)/r! |
Ω |
1.2127864311855 |
Real period |
R |
7.2791506137007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325r1 45325b1 |
Quadratic twists by: 5 -7 |