Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920o |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10444800 |
Modular degree for the optimal curve |
Δ |
3.9485294367932E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30871290,-65941176328] |
[a1,a2,a3,a4,a6] |
Generators |
[-124208853844448774513846076721221289121142688235396618112:241341735257402011691070114035360758834649046482635621979:38073450616663117228539797486041062516370814778998784] |
Generators of the group modulo torsion |
j |
432135399877565634496/524405413134785 |
j-invariant |
L |
10.384252442334 |
L(r)(E,1)/r! |
Ω |
0.064053446847712 |
Real period |
R |
81.059279142542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920bp1 14560d1 |
Quadratic twists by: -4 -7 |