Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bm |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-4355379017959795056 = -1 · 24 · 313 · 75 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1043409,422341729] |
[a1,a2,a3,a4,a6] |
Generators |
[-1165:7533:1] [881:13671:1] |
Generators of the group modulo torsion |
j |
-10770600971507360512/373403550922479 |
j-invariant |
L |
9.7718810716152 |
L(r)(E,1)/r! |
Ω |
0.24425561255152 |
Real period |
R |
0.16669492548263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644q1 |
Quadratic twists by: -3 |