Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fd |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-62259850800000000 = -1 · 210 · 33 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-385875,93038750] |
[a1,a2,a3,a4,a6] |
Generators |
[211:4584:1] |
Generators of the group modulo torsion |
j |
-102060 |
j-invariant |
L |
6.1251957601225 |
L(r)(E,1)/r! |
Ω |
0.35162617450112 |
Real period |
R |
4.3549060075509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200v1 88200b1 88200ff1 |
Quadratic twists by: -3 5 -7 |