Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10416bk |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-6163823083929993216 = -1 · 236 · 310 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,457256,-10070764] |
[a1,a2,a3,a4,a6] |
j |
2581315285024874663/1504839620100096 |
j-invariant |
L |
2.8182987019335 |
L(r)(E,1)/r! |
Ω |
0.14091493509668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1302a1 41664cr1 31248by1 72912bs1 |
Quadratic twists by: -4 8 -3 -7 |