Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300bx |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.5605276689574E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326069175,2265991640750] |
[a1,a2,a3,a4,a6] |
Generators |
[11359:-166698:1] |
Generators of the group modulo torsion |
j |
1314817350433665559504/190690249278375 |
j-invariant |
L |
6.6401575328098 |
L(r)(E,1)/r! |
Ω |
0.089037291273914 |
Real period |
R |
0.77684649480669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100f2 13860t2 |
Quadratic twists by: -3 5 |