Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300ce |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
317684713500000000 = 28 · 37 · 59 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-409575,-97177250] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:1750:1] |
Generators of the group modulo torsion |
j |
2605772594896/108945375 |
j-invariant |
L |
6.0764446485726 |
L(r)(E,1)/r! |
Ω |
0.18920633912533 |
Real period |
R |
0.66907164651288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100ba2 13860l2 |
Quadratic twists by: -3 5 |