Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bp |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2570400 |
Modular degree for the optimal curve |
Δ |
-7854255956250 = -1 · 2 · 33 · 55 · 115 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8070663,8824270156] |
[a1,a2,a3,a4,a6] |
Generators |
[1640:-828:1] |
Generators of the group modulo torsion |
j |
-201165467871512103515209/27177356250 |
j-invariant |
L |
4.4562577849269 |
L(r)(E,1)/r! |
Ω |
0.42243954193638 |
Real period |
R |
0.7032576813514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370m1 |
Quadratic twists by: 17 |