Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544ca |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
67946532864 = 212 · 3 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-3107] |
[a1,a2,a3,a4,a6] |
Generators |
[-2820:11509:125] |
Generators of the group modulo torsion |
j |
262144/141 |
j-invariant |
L |
6.1550846762886 |
L(r)(E,1)/r! |
Ω |
0.89379678534558 |
Real period |
R |
6.8864474845505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6909l1 2256o1 |
Quadratic twists by: -4 -7 |