Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bu |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-969840382113281250 = -1 · 2 · 315 · 59 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101838,-49047219] |
[a1,a2,a3,a4,a6] |
Generators |
[21990:1133001:8] |
Generators of the group modulo torsion |
j |
-7475384530020889/62069784455250 |
j-invariant |
L |
7.0187875223172 |
L(r)(E,1)/r! |
Ω |
0.11749336365589 |
Real period |
R |
4.9781446542474 |
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 |
64350x1 4290l1 |
Quadratic twists by: -3 5 |