Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376r |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-59418095616 = -1 · 212 · 39 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437,-12099] |
[a1,a2,a3,a4,a6] |
Generators |
[191932:1714259:2197] |
Generators of the group modulo torsion |
j |
-2258403328/14506371 |
j-invariant |
L |
4.5448733646449 |
L(r)(E,1)/r! |
Ω |
0.46530856798189 |
Real period |
R |
9.7674396677394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2211f1 106128bc1 |
Quadratic twists by: -4 -3 |