Atkin-Lehner |
2+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96746b |
Isogeny class |
Conductor |
96746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18213120 |
Modular degree for the optimal curve |
Δ |
9.9630382584197E+21 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-228427306,1328880621684] |
[a1,a2,a3,a4,a6] |
Generators |
[7739482924252305614076:-2733922025256116065918:884910193830970047] |
Generators of the group modulo torsion |
j |
25585196494633455393/193380548608 |
j-invariant |
L |
3.6605463040793 |
L(r)(E,1)/r! |
Ω |
0.11558161216965 |
Real period |
R |
31.67066325965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999618825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1586c1 |
Quadratic twists by: 61 |