Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430bo |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-848384746352640 = -1 · 212 · 37 · 5 · 77 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12780,-1289520] |
[a1,a2,a3,a4,a6] |
j |
2691419471/9891840 |
j-invariant |
L |
2.0362178425281 |
L(r)(E,1)/r! |
Ω |
0.25452722758465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810dg1 14490be1 |
Quadratic twists by: -3 -7 |