Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bo |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9605805552000000 = -1 · 210 · 36 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-4716250] |
[a1,a2,a3,a4,a6] |
Generators |
[17850:453250:27] |
Generators of the group modulo torsion |
j |
-4/7 |
j-invariant |
L |
7.1121179757124 |
L(r)(E,1)/r! |
Ω |
0.18503438481684 |
Real period |
R |
4.8045921204702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9800bg1 3528ba1 12600k1 |
Quadratic twists by: -3 5 -7 |