Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45080t |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-27059270000 = -1 · 24 · 54 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,7909] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1225:1] |
Generators of the group modulo torsion |
j |
-256/14375 |
j-invariant |
L |
7.1491314916806 |
L(r)(E,1)/r! |
Ω |
0.94627333232805 |
Real period |
R |
0.9443798170454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160r1 920d1 |
Quadratic twists by: -4 -7 |