Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94656r |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-20777086656 = -1 · 26 · 33 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 5 -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-327,-7191] |
[a1,a2,a3,a4,a6] |
Generators |
[202:29:8] |
Generators of the group modulo torsion |
j |
-60605834752/324641979 |
j-invariant |
L |
5.1074382428687 |
L(r)(E,1)/r! |
Ω |
0.5049224906896 |
Real period |
R |
2.5288229104024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656bb1 47328w1 |
Quadratic twists by: -4 8 |