Atkin-Lehner |
3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1887b |
Isogeny class |
Conductor |
1887 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
19720 |
Modular degree for the optimal curve |
Δ |
-251020612686449979 = -1 · 317 · 175 · 372 |
Discriminant |
Eigenvalues |
0 3- -1 -2 -1 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-750231,-251524663] |
[a1,a2,a3,a4,a6] |
Generators |
[2853:144355:1] |
Generators of the group modulo torsion |
j |
-46699185669641238052864/251020612686449979 |
j-invariant |
L |
2.7338360140899 |
L(r)(E,1)/r! |
Ω |
0.081083253500039 |
Real period |
R |
0.19833180865354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192r1 120768l1 5661c1 47175b1 |
Quadratic twists by: -4 8 -3 5 |