Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504q |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-9.9259386811499E+18 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 -2 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11087200,-14206683392] |
[a1,a2,a3,a4,a6] |
j |
-36798443442923099464801/2423324873327616 |
j-invariant |
L |
1.2410338407892 |
L(r)(E,1)/r! |
Ω |
0.041367794692972 |
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 |
1938j1 62016ct1 46512x1 |
Quadratic twists by: -4 8 -3 |