Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bq |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-472392000000 = -1 · 29 · 310 · 56 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,18250] |
[a1,a2,a3,a4,a6] |
Generators |
[90:950:1] |
Generators of the group modulo torsion |
j |
97336/81 |
j-invariant |
L |
3.8101071107839 |
L(r)(E,1)/r! |
Ω |
0.60491873030844 |
Real period |
R |
3.1492718937974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200o4 14400bt4 2400m4 288c4 |
Quadratic twists by: -4 8 -3 5 |