Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450a |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-50965989582562500 = -1 · 22 · 3 · 56 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 5 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1497525,-706065375] |
[a1,a2,a3,a4,a6] |
Generators |
[204672363764:-16023433637813:32461759] |
Generators of the group modulo torsion |
j |
-23769846831649063249/3261823333284 |
j-invariant |
L |
2.7348434473231 |
L(r)(E,1)/r! |
Ω |
0.068237392865607 |
Real period |
R |
20.039184767136 |
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 |
51600de2 19350by2 258f2 |
Quadratic twists by: -4 -3 5 |