Atkin-Lehner |
3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53025v |
Isogeny class |
Conductor |
53025 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
956523542625 = 37 · 53 · 73 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78308,8427807] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:3744:1] [-242:3757:1] |
Generators of the group modulo torsion |
j |
424846888784195093/7652188341 |
j-invariant |
L |
7.4009936503084 |
L(r)(E,1)/r! |
Ω |
0.80998011363358 |
Real period |
R |
0.43510731082158 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53025h1 |
Quadratic twists by: 5 |