Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95424w |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-236067604512768 = -1 · 214 · 34 · 7 · 714 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26129,1777167] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:1704:1] |
Generators of the group modulo torsion |
j |
-120417265426768/14408423127 |
j-invariant |
L |
5.061742132657 |
L(r)(E,1)/r! |
Ω |
0.54104453518777 |
Real period |
R |
0.58471874657294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424bw1 11928g1 |
Quadratic twists by: -4 8 |