Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094bk |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-49819498315776 = -1 · 223 · 33 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9827,508323] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-1134:1] |
Generators of the group modulo torsion |
j |
-79320474507267/37656461312 |
j-invariant |
L |
10.061707664698 |
L(r)(E,1)/r! |
Ω |
0.59181889543176 |
Real period |
R |
0.1847970527841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094g1 59094bf1 |
Quadratic twists by: -3 -7 |