Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136ct |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-1952581061870998272 = -1 · 28 · 32 · 78 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-253493,83180607] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:11094:1] |
Generators of the group modulo torsion |
j |
-59812937728000/64830723363 |
j-invariant |
L |
9.4056809490403 |
L(r)(E,1)/r! |
Ω |
0.23852642461393 |
Real period |
R |
0.9858112116919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25284a1 14448n1 |
Quadratic twists by: -4 -7 |