Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200fl |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
1050634982250000 = 24 · 36 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77175,8103375] |
[a1,a2,a3,a4,a6] |
Generators |
[49:2107:1] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
7.2376653036526 |
L(r)(E,1)/r! |
Ω |
0.49166133017076 |
Real period |
R |
2.4534724958775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800c1 3528g1 88200gc1 |
Quadratic twists by: -3 5 -7 |