Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150v |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-163418107500000000 = -1 · 28 · 313 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1762513,900106031] |
[a1,a2,a3,a4,a6] |
j |
-62004137551272025/16734014208 |
j-invariant |
L |
2.5233553175126 |
L(r)(E,1)/r! |
Ω |
0.31541941468908 |
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 |
49200da1 18450m1 6150s1 |
Quadratic twists by: -4 -3 5 |