Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144dd |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
31804608 = 26 · 3 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5472,-157638] |
[a1,a2,a3,a4,a6] |
Generators |
[4670361318:138637862065:5268024] |
Generators of the group modulo torsion |
j |
283179211757632/496947 |
j-invariant |
L |
8.5190506675014 |
L(r)(E,1)/r! |
Ω |
0.55508113103675 |
Real period |
R |
15.347397334685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958847 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bx1 39072j2 |
Quadratic twists by: -4 8 |