Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49700a |
Isogeny class |
Conductor |
49700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-146178882500000000 = -1 · 28 · 510 · 77 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 -3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16694508,-26249232488] |
[a1,a2,a3,a4,a6] |
j |
-128642544175666893136/36544720625 |
j-invariant |
L |
0.22406673814078 |
L(r)(E,1)/r! |
Ω |
0.037344456505847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940d1 |
Quadratic twists by: 5 |