Atkin-Lehner |
2- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
79184bc |
Isogeny class |
Conductor |
79184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
48670920704 = 212 · 76 · 101 |
Discriminant |
Eigenvalues |
2- -2 1 7- 2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-7869] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:49:1] [-10:41:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
8.3951760309527 |
L(r)(E,1)/r! |
Ω |
0.86747518420739 |
Real period |
R |
4.8388565942768 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949d1 1616c1 |
Quadratic twists by: -4 -7 |