Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130dm |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-43566895312500 = -1 · 22 · 3 · 58 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16710,888600] |
[a1,a2,a3,a4,a6] |
Generators |
[20:740:1] |
Generators of the group modulo torsion |
j |
-4385977971409/370312500 |
j-invariant |
L |
14.135094985833 |
L(r)(E,1)/r! |
Ω |
0.62780167755781 |
Real period |
R |
1.4072014553457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2370f1 |
Quadratic twists by: -7 |