Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bm |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-16139792941056 = -1 · 221 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -6 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26067,1631378] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:1152:1] [89:-128:1] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
10.034199883027 |
L(r)(E,1)/r! |
Ω |
0.70006632795732 |
Real period |
R |
1.7916516411216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7038g1 18768l1 |
Quadratic twists by: -4 -3 |