Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800ch |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
6052522500000000 = 28 · 310 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256575,-49882750] |
[a1,a2,a3,a4,a6] |
Generators |
[1385:47450:1] |
Generators of the group modulo torsion |
j |
640588599376/2075625 |
j-invariant |
L |
8.4002714201154 |
L(r)(E,1)/r! |
Ω |
0.21216833860837 |
Real period |
R |
4.9490604235545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600l1 14760e1 |
Quadratic twists by: -3 5 |