Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424p |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-333009911808 = -1 · 220 · 32 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2945,68481] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:132:1] [1:256:1] |
Generators of the group modulo torsion |
j |
-10779215329/1270332 |
j-invariant |
L |
7.4418373010918 |
L(r)(E,1)/r! |
Ω |
0.93527679174413 |
Real period |
R |
1.9892071967597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95424ci1 2982l1 |
Quadratic twists by: -4 8 |