Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400db |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-71290880000000000 = -1 · 221 · 510 · 592 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 1 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47500,13450000] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3776:1] |
Generators of the group modulo torsion |
j |
-4629825/27848 |
j-invariant |
L |
3.2492851021181 |
L(r)(E,1)/r! |
Ω |
0.29871061289179 |
Real period |
R |
1.359712769664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400l1 23600o1 94400dr1 |
Quadratic twists by: -4 8 5 |