Atkin-Lehner |
2+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200i |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-255500000000 = -1 · 28 · 59 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375,31250] |
[a1,a2,a3,a4,a6] |
Generators |
[750:3250:27] |
Generators of the group modulo torsion |
j |
-574992/511 |
j-invariant |
L |
12.867225650096 |
L(r)(E,1)/r! |
Ω |
0.89949791940738 |
Real period |
R |
3.5762244034803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200z1 |
Quadratic twists by: 5 |