Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245k |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
8077411125 = 39 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 3 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14926,706866] |
[a1,a2,a3,a4,a6] |
j |
7505628075667456/164845125 |
j-invariant |
L |
1.2122166808141 |
L(r)(E,1)/r! |
Ω |
1.2122166808219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245z1 |
Quadratic twists by: -7 |