Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400g |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
873025260800 = 28 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -7 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100273,-12188043] |
[a1,a2,a3,a4,a6] |
Generators |
[-4929:242:27] |
Generators of the group modulo torsion |
j |
17422083655275520/136410197 |
j-invariant |
L |
7.0041312570559 |
L(r)(E,1)/r! |
Ω |
0.26828932675367 |
Real period |
R |
0.93237978536705 |
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 |
30800d1 123200bw1 15400t1 107800x1 |
Quadratic twists by: -4 8 5 -7 |