Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bq |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-35525754880000 = -1 · 226 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2079,-283745] |
[a1,a2,a3,a4,a6] |
j |
3789119879/135520000 |
j-invariant |
L |
1.255232556769 |
L(r)(E,1)/r! |
Ω |
0.31380813919227 |
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 |
24640c1 6160o1 123200ep1 |
Quadratic twists by: -4 8 5 |