Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150j |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-28406250 = -1 · 2 · 32 · 56 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826,-9202] |
[a1,a2,a3,a4,a6] |
j |
-3981876625/1818 |
j-invariant |
L |
1.7812941728664 |
L(r)(E,1)/r! |
Ω |
0.44532354321661 |
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 |
121200bu1 45450cb1 606c1 |
Quadratic twists by: -4 -3 5 |