Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405p |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.4151688372973E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7845840,9542945425] |
[a1,a2,a3,a4,a6] |
Generators |
[298286144:15584175347:300763] |
Generators of the group modulo torsion |
j |
-622768040074052209/98117633620125 |
j-invariant |
L |
8.2191579001326 |
L(r)(E,1)/r! |
Ω |
0.12614758462479 |
Real period |
R |
8.1443869145437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30135r2 12915s2 |
Quadratic twists by: -3 -7 |