Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206i |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2410980347107584 = 28 · 39 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37053,1407685] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-4789:1] |
Generators of the group modulo torsion |
j |
65597103937/28111104 |
j-invariant |
L |
3.6005719430581 |
L(r)(E,1)/r! |
Ω |
0.41409231004927 |
Real period |
R |
1.0868868662136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24402y1 10458k1 |
Quadratic twists by: -3 -7 |