Atkin-Lehner |
2- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30100i |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1193101918750000 = -1 · 24 · 58 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -5 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-1661875] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1900:1] |
Generators of the group modulo torsion |
j |
-2211840/190896307 |
j-invariant |
L |
4.548526761726 |
L(r)(E,1)/r! |
Ω |
0.22233585747943 |
Real period |
R |
3.4096515164727 |
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 |
120400cj1 30100h1 |
Quadratic twists by: -4 5 |