Atkin-Lehner |
2- 3+ 11+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418o |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-1862444826 = -1 · 2 · 39 · 112 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11+ 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-434,-3941] |
[a1,a2,a3,a4,a6] |
Generators |
[278:1045:8] |
Generators of the group modulo torsion |
j |
-458314011/94622 |
j-invariant |
L |
4.9418452002933 |
L(r)(E,1)/r! |
Ω |
0.51735207459822 |
Real period |
R |
2.3880474446144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77418f1 |
Quadratic twists by: -3 |