Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402c |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2349312 |
Modular degree for the optimal curve |
Δ |
-5.363527017183E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -1 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8646123,5332857363] |
[a1,a2,a3,a4,a6] |
Generators |
[11448569:1120665935:1331] |
Generators of the group modulo torsion |
j |
1771354569918566177/1329131994863058 |
j-invariant |
L |
3.5133033312619 |
L(r)(E,1)/r! |
Ω |
0.071624426635837 |
Real period |
R |
8.1752913456112 |
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 |
73206bf1 24402g1 |
Quadratic twists by: -3 -7 |