Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150j |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98560 |
Modular degree for the optimal curve |
Δ |
-734552064000000000 = -1 · 222 · 37 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,148175,34967125] |
[a1,a2,a3,a4,a6] |
Generators |
[-281568:190345825:32768] |
Generators of the group modulo torsion |
j |
184210296340699/376090656768 |
j-invariant |
L |
2.6037988876259 |
L(r)(E,1)/r! |
Ω |
0.19704471040657 |
Real period |
R |
13.214254177407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49200dv1 18450by1 6150bf1 |
Quadratic twists by: -4 -3 5 |