Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450bq |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-1681851600000000000 = -1 · 213 · 35 · 511 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,249412,-39829219] |
[a1,a2,a3,a4,a6] |
Generators |
[365:9817:1] |
Generators of the group modulo torsion |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
6.2775141536323 |
L(r)(E,1)/r! |
Ω |
0.14489540619206 |
Real period |
R |
0.83316254948329 |
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 |
64350bu1 4290j1 |
Quadratic twists by: -3 5 |