Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200by |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
498240 |
Modular degree for the optimal curve |
Δ |
-2233155000000000 = -1 · 29 · 3 · 510 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9792,-2246088] |
[a1,a2,a3,a4,a6] |
j |
20764600/446631 |
j-invariant |
L |
0.22419169323159 |
L(r)(E,1)/r! |
Ω |
0.22419080466862 |
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 |
127200da1 127200bq1 |
Quadratic twists by: -4 5 |