Atkin-Lehner |
7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49147f |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-118001947 = -1 · 76 · 17 · 59 |
Discriminant |
Eigenvalues |
0 -2 2 7- -5 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,33,-507] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] [186:921:8] |
Generators of the group modulo torsion |
j |
32768/1003 |
j-invariant |
L |
6.1969320948916 |
L(r)(E,1)/r! |
Ω |
0.90015943139921 |
Real period |
R |
3.442130293109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003a1 |
Quadratic twists by: -7 |