Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300s |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-17698800 = -1 · 24 · 3 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,-203] |
[a1,a2,a3,a4,a6] |
j |
1280/44247 |
j-invariant |
L |
3.0217711930221 |
L(r)(E,1)/r! |
Ω |
1.007257124021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bt1 |
Quadratic twists by: 5 |