Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bm |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-504420087500000000 = -1 · 28 · 511 · 79 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -5 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504700,-142173500] |
[a1,a2,a3,a4,a6] |
Generators |
[1680:61250:1] |
Generators of the group modulo torsion |
j |
-30211716096/1071875 |
j-invariant |
L |
1.9817654764111 |
L(r)(E,1)/r! |
Ω |
0.089373100937187 |
Real period |
R |
1.3858794310241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600bc1 78400df1 88200cz1 1960d1 |
Quadratic twists by: -4 8 -3 5 |