Atkin-Lehner |
3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51153c |
Isogeny class |
Conductor |
51153 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-11112381603513 = -1 · 33 · 178 · 59 |
Discriminant |
Eigenvalues |
1 3- -2 0 -2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4197,191149] |
[a1,a2,a3,a4,a6] |
Generators |
[23:315:1] |
Generators of the group modulo torsion |
j |
-1171657/1593 |
j-invariant |
L |
7.1222090224587 |
L(r)(E,1)/r! |
Ω |
0.64769965612572 |
Real period |
R |
3.6653866521331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51153b1 |
Quadratic twists by: 17 |