Atkin-Lehner |
3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963d |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-214718507883 = -1 · 33 · 116 · 672 |
Discriminant |
Eigenvalues |
-1 3+ -2 -4 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,7670] |
[a1,a2,a3,a4,a6] |
Generators |
[25:229:1] |
Generators of the group modulo torsion |
j |
6751269/4489 |
j-invariant |
L |
2.0201475722637 |
L(r)(E,1)/r! |
Ω |
0.6264813856215 |
Real period |
R |
1.6122965657627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72963b2 603a2 |
Quadratic twists by: -3 -11 |