Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1034b |
Isogeny class |
Conductor |
1034 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-1984272007168 = -1 · 218 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 -5 11- 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-895,68775] |
[a1,a2,a3,a4,a6] |
Generators |
[15:234:1] |
Generators of the group modulo torsion |
j |
-79202305058625/1984272007168 |
j-invariant |
L |
3.1576125859157 |
L(r)(E,1)/r! |
Ω |
0.69487355275693 |
Real period |
R |
0.05049060242508 |
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 |
8272h1 33088a1 9306c1 25850b1 |
Quadratic twists by: -4 8 -3 5 |