Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150k |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
154224 |
Modular degree for the optimal curve |
Δ |
-26086312926000000 = -1 · 27 · 317 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32851,-8104402] |
[a1,a2,a3,a4,a6] |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
2.6819944908147 |
L(r)(E,1)/r! |
Ω |
0.15776438181263 |
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 |
121200bx1 45450ce1 606d1 |
Quadratic twists by: -4 -3 5 |