Atkin-Lehner |
2+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304q |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-3568246267091968 = -1 · 210 · 77 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17232,-2733200] |
[a1,a2,a3,a4,a6] |
Generators |
[111:748:1] |
Generators of the group modulo torsion |
j |
4696965500/29618743 |
j-invariant |
L |
3.9240612654152 |
L(r)(E,1)/r! |
Ω |
0.22190150192925 |
Real period |
R |
2.2104747104812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472d1 |
Quadratic twists by: -7 |