Atkin-Lehner |
2- 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070t |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7916992187500 = -1 · 22 · 512 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3862,164849] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:521:1] [-194:4043:8] |
Generators of the group modulo torsion |
j |
-52634405373561/65429687500 |
j-invariant |
L |
15.234697946992 |
L(r)(E,1)/r! |
Ω |
0.66821261415634 |
Real period |
R |
0.94996572600069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81070k1 |
Quadratic twists by: -11 |