Atkin-Lehner |
3- 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18921h |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-2792048056371 = -1 · 312 · 73 · 172 · 53 |
Discriminant |
Eigenvalues |
0 3- -3 7- -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-567,80372] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:178:1] |
Generators of the group modulo torsion |
j |
-20194756231168/2792048056371 |
j-invariant |
L |
3.3056914061381 |
L(r)(E,1)/r! |
Ω |
0.66025975205414 |
Real period |
R |
0.6258316132124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
56763r1 |
Quadratic twists by: -3 |