Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150d |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-6268177612800 = -1 · 223 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -4 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4285,55245] |
[a1,a2,a3,a4,a6] |
j |
347918730255455/250727104512 |
j-invariant |
L |
0.95805491184552 |
L(r)(E,1)/r! |
Ω |
0.47902745592276 |
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 |
49200dj1 18450bj1 6150bg1 |
Quadratic twists by: -4 -3 5 |