Atkin-Lehner |
2- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072x |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
37207323664 = 24 · 72 · 834 |
Discriminant |
Eigenvalues |
2- 1 1 7- -5 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-870,3107] |
[a1,a2,a3,a4,a6] |
Generators |
[31:83:1] [-17083:147757:1331] |
Generators of the group modulo torsion |
j |
92996049664/47458321 |
j-invariant |
L |
11.889759475706 |
L(r)(E,1)/r! |
Ω |
1.0197058624239 |
Real period |
R |
2.9149973325283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16268e1 65072j1 |
Quadratic twists by: -4 -7 |