Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
118776k |
Isogeny class |
Conductor |
118776 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
1616607673115904 = 28 · 312 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 2 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3834217,2888490779] |
[a1,a2,a3,a4,a6] |
Generators |
[1115:-882:1] |
Generators of the group modulo torsion |
j |
206978714469071872/53675541 |
j-invariant |
L |
6.087486654267 |
L(r)(E,1)/r! |
Ω |
0.37901847776385 |
Real period |
R |
0.16730403064771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2424b1 |
Quadratic twists by: -7 |