Atkin-Lehner |
2+ 3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942r |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
12089584798728192 = 216 · 37 · 74 · 19 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57393,-135779] |
[a1,a2,a3,a4,a6] |
Generators |
[329:3899:1] |
Generators of the group modulo torsion |
j |
28679872714374673/16583792590848 |
j-invariant |
L |
4.3976934112768 |
L(r)(E,1)/r! |
Ω |
0.3375614808681 |
Real period |
R |
1.6284786864743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314p1 |
Quadratic twists by: -3 |