Atkin-Lehner |
2+ 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9102b |
Isogeny class |
Conductor |
9102 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
58240 |
Modular degree for the optimal curve |
Δ |
-5334128093686752 = -1 · 25 · 313 · 37 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 -1 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37599,2118004] |
[a1,a2,a3,a4,a6] |
Generators |
[584:14652:1] |
Generators of the group modulo torsion |
j |
5878536232247984375/5334128093686752 |
j-invariant |
L |
3.2224510401217 |
L(r)(E,1)/r! |
Ω |
0.28045826821273 |
Real period |
R |
0.22096054683982 |
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 |
72816e1 27306g1 |
Quadratic twists by: -4 -3 |