Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15480h |
Isogeny class |
Conductor |
15480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
2407449600 = 210 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-3706] |
[a1,a2,a3,a4,a6] |
j |
19307236/3225 |
j-invariant |
L |
2.0350774916038 |
L(r)(E,1)/r! |
Ω |
1.0175387458019 |
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 |
30960i1 123840bn1 5160i1 77400bf1 |
Quadratic twists by: -4 8 -3 5 |