Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2190b |
Isogeny class |
Conductor |
2190 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-307968750 = -1 · 2 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,148,-426] |
[a1,a2,a3,a4,a6] |
Generators |
[13:56:1] |
Generators of the group modulo torsion |
j |
354744554039/307968750 |
j-invariant |
L |
2.0293841805878 |
L(r)(E,1)/r! |
Ω |
0.94871312178163 |
Real period |
R |
0.30558450088033 |
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 |
17520y1 70080v1 6570u1 10950ba1 |
Quadratic twists by: -4 8 -3 5 |