Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970o |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118863360 |
Modular degree for the optimal curve |
Δ |
-3.3406288092065E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1713299175,-8793753926407299] |
[a1,a2,a3,a4,a6] |
j |
-762949514912708039797646866801/45824812197620141357267649822720 |
j-invariant |
L |
0.52171715677485 |
L(r)(E,1)/r! |
Ω |
0.0053236444568862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760du1 3990ba1 59850fa1 83790cd1 |
Quadratic twists by: -4 -3 5 -7 |