Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
77077bb |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-156747409819 = -1 · 77 · 114 · 13 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1976,38154] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:171:1] [-26:269:1] |
Generators of the group modulo torsion |
j |
-495616/91 |
j-invariant |
L |
3.3150979600903 |
L(r)(E,1)/r! |
Ω |
0.98456346073697 |
Real period |
R |
0.28058949408712 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011m1 77077s1 |
Quadratic twists by: -7 -11 |