Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200du |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
900544270500000000 = 28 · 37 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312375,49306250] |
[a1,a2,a3,a4,a6] |
j |
78608/21 |
j-invariant |
L |
2.0934312804623 |
L(r)(E,1)/r! |
Ω |
0.26167892085722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400dg1 88200ig1 12600bb1 |
Quadratic twists by: -3 5 -7 |