Atkin-Lehner |
2+ 3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450i |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-6.5368788063862E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9664700,-12205326000] |
[a1,a2,a3,a4,a6] |
Generators |
[123177:5248552:27] |
Generators of the group modulo torsion |
j |
-10223247433441606225/669376389773952 |
j-invariant |
L |
3.221441527096 |
L(r)(E,1)/r! |
Ω |
0.042651363392028 |
Real period |
R |
6.2941355431195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999367885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450db1 |
Quadratic twists by: 5 |