Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cy |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1995201672913354752 = -1 · 218 · 39 · 74 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3906819,2973011202] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:-4158:1] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
8.3653342908187 |
L(r)(E,1)/r! |
Ω |
0.25655054286348 |
Real period |
R |
0.54344939841474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702a1 77616cu1 77616dw1 |
Quadratic twists by: -4 -3 -7 |