Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600g |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-780000000 = -1 · 28 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -1 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8633,311637] |
[a1,a2,a3,a4,a6] |
Generators |
[52:25:1] |
Generators of the group modulo torsion |
j |
-17790954496/195 |
j-invariant |
L |
2.8484955458275 |
L(r)(E,1)/r! |
Ω |
1.4448165425717 |
Real period |
R |
0.4928818749468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7800h1 62400hq1 46800z1 3120l1 |
Quadratic twists by: -4 8 -3 5 |