Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080cf |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
3719761920 = 212 · 33 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-302720,-64208652] |
[a1,a2,a3,a4,a6] |
Generators |
[3778:229632:1] |
Generators of the group modulo torsion |
j |
749011598724977281/908145 |
j-invariant |
L |
7.5703569301485 |
L(r)(E,1)/r! |
Ω |
0.20353502575492 |
Real period |
R |
6.1990615636612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255d1 |
Quadratic twists by: -4 |