Atkin-Lehner |
2- 7- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
14518f |
Isogeny class |
Conductor |
14518 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
133920 |
Modular degree for the optimal curve |
Δ |
-78797456498096 = -1 · 24 · 73 · 17 · 615 |
Discriminant |
Eigenvalues |
2- 3 1 7- -1 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87567,-9960953] |
[a1,a2,a3,a4,a6] |
j |
-74257526057451329601/78797456498096 |
j-invariant |
L |
8.3254639924201 |
L(r)(E,1)/r! |
Ω |
0.138757733207 |
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 |
116144j1 101626bd1 |
Quadratic twists by: -4 -7 |