Atkin-Lehner |
2- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
85952u |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
557568 |
Modular degree for the optimal curve |
Δ |
31242124509184 = 214 · 176 · 79 |
Discriminant |
Eigenvalues |
2- 3 -3 -3 -2 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45244,-3694384] |
[a1,a2,a3,a4,a6] |
Generators |
[-3246:2312:27] |
Generators of the group modulo torsion |
j |
625153625235792/1906867951 |
j-invariant |
L |
9.0405186143538 |
L(r)(E,1)/r! |
Ω |
0.32740774018972 |
Real period |
R |
1.1505173193462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952l1 21488i1 |
Quadratic twists by: -4 8 |