Atkin-Lehner |
2- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704o |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-51023429632 = -1 · 214 · 7 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,925,-926] |
[a1,a2,a3,a4,a6] |
Generators |
[30:232:1] |
Generators of the group modulo torsion |
j |
21369234375/12456892 |
j-invariant |
L |
5.9552881840682 |
L(r)(E,1)/r! |
Ω |
0.66448546859424 |
Real period |
R |
2.2405637385794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338a1 |
Quadratic twists by: -4 |