Atkin-Lehner |
5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725j |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13719552 |
Modular degree for the optimal curve |
Δ |
-3.2806347861066E+20 |
Discriminant |
Eigenvalues |
-2 3 5+ 7- -3 -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3249925,2417581906] |
[a1,a2,a3,a4,a6] |
j |
-6020621733888/520302005 |
j-invariant |
L |
1.3416243166607 |
L(r)(E,1)/r! |
Ω |
0.16770289790136 |
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 |
24745f1 123725t1 |
Quadratic twists by: 5 -7 |