Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616bd |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2046713532510666096 = -1 · 24 · 39 · 79 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5891319,-5504284611] |
[a1,a2,a3,a4,a6] |
Generators |
[23058:305613:8] |
Generators of the group modulo torsion |
j |
-610325920583424/55240493 |
j-invariant |
L |
5.3826024584374 |
L(r)(E,1)/r! |
Ω |
0.048452262991984 |
Real period |
R |
2.7772709290346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808j1 77616p1 11088h1 |
Quadratic twists by: -4 -3 -7 |