Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616bn |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-345203834122224 = -1 · 24 · 39 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104223,12981521] |
[a1,a2,a3,a4,a6] |
Generators |
[448:7497:1] |
Generators of the group modulo torsion |
j |
-91238612224/251559 |
j-invariant |
L |
6.39357749722 |
L(r)(E,1)/r! |
Ω |
0.54135355653712 |
Real period |
R |
2.9525886651623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808ci1 25872j1 11088j1 |
Quadratic twists by: -4 -3 -7 |