Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400cq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
21036206250000 = 24 · 311 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28875,1875625] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2025:1] |
Generators of the group modulo torsion |
j |
584362240/4617 |
j-invariant |
L |
4.7832157293224 |
L(r)(E,1)/r! |
Ω |
0.68479602010516 |
Real period |
R |
0.58207305388742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200br1 22800bl1 68400bt1 |
Quadratic twists by: -4 -3 5 |