Atkin-Lehner |
2+ 3+ 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990a |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
124080623600544000 = 28 · 316 · 53 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-199583,-29925627] |
[a1,a2,a3,a4,a6] |
j |
879220389965127940729/124080623600544000 |
j-invariant |
L |
0.91198344040769 |
L(r)(E,1)/r! |
Ω |
0.22799586010192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bt1 47970bi1 79950cc1 |
Quadratic twists by: -4 -3 5 |