Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245m |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
724203125625 = 3 · 54 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10462,405511] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:179:1] |
Generators of the group modulo torsion |
j |
1076575468249/6155625 |
j-invariant |
L |
7.1966897839784 |
L(r)(E,1)/r! |
Ω |
0.90694968674056 |
Real period |
R |
3.9675242679971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035h1 |
Quadratic twists by: -7 |