Atkin-Lehner |
2- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550bl |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
631680 |
Modular degree for the optimal curve |
Δ |
-156502317968000 = -1 · 27 · 53 · 175 · 832 |
Discriminant |
Eigenvalues |
2- -3 5- 2 -4 7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10575,-730473] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-2934:1] |
Generators of the group modulo torsion |
j |
-1046203877755413/1252018543744 |
j-invariant |
L |
6.4399004564096 |
L(r)(E,1)/r! |
Ω |
0.22508691392589 |
Real period |
R |
0.20436234239255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550n1 |
Quadratic twists by: 5 |