Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232bm |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-513084096 = -1 · 26 · 32 · 75 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[12:63:1] |
Generators of the group modulo torsion |
j |
12747309056/8016939 |
j-invariant |
L |
9.3076724360796 |
L(r)(E,1)/r! |
Ω |
0.94956895532471 |
Real period |
R |
0.98019974028782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bx1 1113d1 |
Quadratic twists by: -4 8 |