Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bt |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
105663861072 = 24 · 36 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11466,472311] |
[a1,a2,a3,a4,a6] |
Generators |
[79:244:1] |
Generators of the group modulo torsion |
j |
121485312/77 |
j-invariant |
L |
4.045628308 |
L(r)(E,1)/r! |
Ω |
1.0479448909103 |
Real period |
R |
3.8605353599802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808bh1 8624f1 11088l1 |
Quadratic twists by: -4 -3 -7 |