Atkin-Lehner |
3+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2829c |
Isogeny class |
Conductor |
2829 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
27360 |
Modular degree for the optimal curve |
Δ |
306709251749102421 = 319 · 235 · 41 |
Discriminant |
Eigenvalues |
0 3+ 3 1 0 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-365119,80751177] |
[a1,a2,a3,a4,a6] |
j |
5383047368354294628352/306709251749102421 |
j-invariant |
L |
1.5089807519825 |
L(r)(E,1)/r! |
Ω |
0.30179615039649 |
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 |
45264p1 8487h1 70725j1 65067e1 |
Quadratic twists by: -4 -3 5 -23 |