Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616dk |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-173820100608 = -1 · 214 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,20034] |
[a1,a2,a3,a4,a6] |
Generators |
[15:162:1] |
Generators of the group modulo torsion |
j |
189/44 |
j-invariant |
L |
4.7154567348551 |
L(r)(E,1)/r! |
Ω |
0.78583831041452 |
Real period |
R |
1.5001358015385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702k1 77616dv1 77616ct1 |
Quadratic twists by: -4 -3 -7 |