Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352cj |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.9365823805487E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-864660,-6702541792] |
[a1,a2,a3,a4,a6] |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
3.2727070812548 |
L(r)(E,1)/r! |
Ω |
0.054545118022445 |
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 |
44352p1 22176e1 14784n1 |
Quadratic twists by: -4 8 -3 |