Atkin-Lehner |
2+ 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234b |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
623616 |
Modular degree for the optimal curve |
Δ |
-2.0053027147515E+19 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ -2 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7663234,8169947156] |
[a1,a2,a3,a4,a6] |
Generators |
[82380:3059138:27] |
Generators of the group modulo torsion |
j |
-49769124995742531362902521/20053027147515036416 |
j-invariant |
L |
5.6542826973571 |
L(r)(E,1)/r! |
Ω |
0.21264555343814 |
Real period |
R |
6.6475440068419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872bf1 92106bs1 71638i1 |
Quadratic twists by: -4 -3 -7 |