Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094f |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-851308164 = -1 · 22 · 33 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1185,-15471] |
[a1,a2,a3,a4,a6] |
j |
-57960603/268 |
j-invariant |
L |
1.626906707097 |
L(r)(E,1)/r! |
Ω |
0.40672667679611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bi1 1206a1 |
Quadratic twists by: -3 -7 |