Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15400c |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
19250000 = 24 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-650,-6375] |
[a1,a2,a3,a4,a6] |
Generators |
[795:100:27] |
Generators of the group modulo torsion |
j |
121485312/77 |
j-invariant |
L |
4.1374334358724 |
L(r)(E,1)/r! |
Ω |
0.94555705220705 |
Real period |
R |
4.3756571073264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800m1 123200k1 616e1 107800h1 |
Quadratic twists by: -4 8 5 -7 |