Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470h |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-1548979200 = -1 · 210 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,-1900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:70:1] |
Generators of the group modulo torsion |
j |
4019679/2124800 |
j-invariant |
L |
2.2836568004324 |
L(r)(E,1)/r! |
Ω |
0.70427643212278 |
Real period |
R |
0.8106393655504 |
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 |
59760ba1 830c1 37350bn1 |
Quadratic twists by: -4 -3 5 |