Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302cn |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-757311098558976 = -1 · 29 · 36 · 133 · 314 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 -4 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14657,1493457] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-3340:1] |
Generators of the group modulo torsion |
j |
-217407044197/472842752 |
j-invariant |
L |
8.5737699587442 |
L(r)(E,1)/r! |
Ω |
0.44886519750554 |
Real period |
R |
0.26529153764728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478i1 94302bd1 |
Quadratic twists by: -3 13 |