Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650s |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-4275906937182720000 = -1 · 212 · 34 · 54 · 710 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,43425,-99409275] |
[a1,a2,a3,a4,a6] |
Generators |
[1710:69705:1] |
Generators of the group modulo torsion |
j |
14489304833984375/6841451099492352 |
j-invariant |
L |
3.3631843506826 |
L(r)(E,1)/r! |
Ω |
0.11516519219853 |
Real period |
R |
0.24335943635891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650cs1 |
Quadratic twists by: 5 |