Atkin-Lehner |
2+ 3+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642j |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
24113038727232 = 26 · 33 · 72 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17798802,28906874388] |
[a1,a2,a3,a4,a6] |
Generators |
[9469638:10297991901:8] |
Generators of the group modulo torsion |
j |
23095761026566909788682875/893075508416 |
j-invariant |
L |
5.49153749599 |
L(r)(E,1)/r! |
Ω |
0.36128678941879 |
Real period |
R |
11.399954907609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033757 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
96642bm3 |
Quadratic twists by: -3 |