Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245y |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
1215618893215125 = 3 · 53 · 74 · 675 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -1 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-233060,-43351444] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:52:1] |
Generators of the group modulo torsion |
j |
583091407783284736/506296915125 |
j-invariant |
L |
4.4185374029377 |
L(r)(E,1)/r! |
Ω |
0.21729768628619 |
Real period |
R |
2.2593365291568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245j1 |
Quadratic twists by: -7 |