Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15150q |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
27270000 = 24 · 33 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 2 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,26848] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-6:1] |
Generators of the group modulo torsion |
j |
870140865625/43632 |
j-invariant |
L |
4.4389719294603 |
L(r)(E,1)/r! |
Ω |
1.9888419166133 |
Real period |
R |
0.37198967335215 |
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 |
121200co1 45450cn1 15150u1 |
Quadratic twists by: -4 -3 5 |