Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150k |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-358668000000000 = -1 · 211 · 37 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 -2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51700,4594000] |
[a1,a2,a3,a4,a6] |
Generators |
[135:245:1] |
Generators of the group modulo torsion |
j |
-7824893363477/183638016 |
j-invariant |
L |
2.461998412927 |
L(r)(E,1)/r! |
Ω |
0.53727294693827 |
Real period |
R |
2.291198939903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200dy1 18450bz1 6150bh1 |
Quadratic twists by: -4 -3 5 |