Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10388h |
Isogeny class |
Conductor |
10388 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-1596261632 = -1 · 28 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 2 7- 2 7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,-2332] |
[a1,a2,a3,a4,a6] |
j |
-35152/53 |
j-invariant |
L |
3.5612007600837 |
L(r)(E,1)/r! |
Ω |
0.59353346001394 |
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 |
41552bq1 93492p1 212a1 |
Quadratic twists by: -4 -3 -7 |