Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400t |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
13641019700000000 = 28 · 58 · 7 · 117 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 7 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2506833,-1528519037] |
[a1,a2,a3,a4,a6] |
j |
17422083655275520/136410197 |
j-invariant |
L |
1.6797568823248 |
L(r)(E,1)/r! |
Ω |
0.11998263445177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800u1 123200cq1 15400g1 107800cm1 |
Quadratic twists by: -4 8 5 -7 |