Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624w |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1610361643106304 = -1 · 215 · 39 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11+ -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59211,5872122] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:3294:1] |
Generators of the group modulo torsion |
j |
-284760442539/19974328 |
j-invariant |
L |
7.6310477388088 |
L(r)(E,1)/r! |
Ω |
0.46646039633476 |
Real period |
R |
1.3632896807605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078r2 96624bd1 |
Quadratic twists by: -4 -3 |