Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462n |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-721423668 = -1 · 22 · 3 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,340] |
[a1,a2,a3,a4,a6] |
Generators |
[25:134:1] |
Generators of the group modulo torsion |
j |
9938375/6132 |
j-invariant |
L |
4.9332992214859 |
L(r)(E,1)/r! |
Ω |
0.99107161438099 |
Real period |
R |
1.2444356063429 |
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 |
64386bq1 3066d1 |
Quadratic twists by: -3 -7 |