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 |
Δ |
124224399360 = 211 · 38 · 5 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,39134] |
[a1,a2,a3,a4,a6] |
j |
909513218/83205 |
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 |
30960i2 123840bn2 5160i2 77400bf2 |
Quadratic twists by: -4 8 -3 5 |