Atkin-Lehner |
5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
66785d |
Isogeny class |
Conductor |
66785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1610145277225 = -1 · 52 · 196 · 372 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,534,61088] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:199:1] |
Generators of the group modulo torsion |
j |
357911/34225 |
j-invariant |
L |
4.3203663594732 |
L(r)(E,1)/r! |
Ω |
0.64672215305729 |
Real period |
R |
3.3402028512057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
185c2 |
Quadratic twists by: -19 |