Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368f |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-38282956836208 = -1 · 24 · 73 · 178 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67144,6725715] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1239:1] |
Generators of the group modulo torsion |
j |
-299944192/343 |
j-invariant |
L |
7.0332951947767 |
L(r)(E,1)/r! |
Ω |
0.64579451314006 |
Real period |
R |
3.6303060553932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16184c1 129472dt1 32368b1 |
Quadratic twists by: -4 8 17 |