Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150m |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
1184129280000000000 = 217 · 39 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -7 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5175117,4532349541] |
[a1,a2,a3,a4,a6] |
j |
2153062843632025/166330368 |
j-invariant |
L |
0.52177439168427 |
L(r)(E,1)/r! |
Ω |
0.26088719584214 |
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 |
7050u1 21150cn1 |
Quadratic twists by: -3 5 |