Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462o |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-753515478447312 = -1 · 24 · 3 · 79 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50300,-4542646] |
[a1,a2,a3,a4,a6] |
Generators |
[3149311:150908073:1331] |
Generators of the group modulo torsion |
j |
-348765000319/18672816 |
j-invariant |
L |
5.7245969761805 |
L(r)(E,1)/r! |
Ω |
0.15890167807206 |
Real period |
R |
9.0065080583738 |
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 |
64386bu1 21462j1 |
Quadratic twists by: -3 -7 |