Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200r |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
-952000000000 = -1 · 212 · 59 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 6 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66333,-6598037] |
[a1,a2,a3,a4,a6] |
Generators |
[196612:10859625:64] |
Generators of the group modulo torsion |
j |
-4034866688/119 |
j-invariant |
L |
5.0191211648713 |
L(r)(E,1)/r! |
Ω |
0.14874275976059 |
Real period |
R |
8.4359083559448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200bf1 95200bg1 |
Quadratic twists by: -4 5 |