Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bk |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
3.7661443180462E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3619352,2634701851] |
[a1,a2,a3,a4,a6] |
Generators |
[941:7369:1] |
Generators of the group modulo torsion |
j |
266394205833287968827/1913399541760000 |
j-invariant |
L |
7.0514117243516 |
L(r)(E,1)/r! |
Ω |
0.20632224020232 |
Real period |
R |
0.32862204164023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760cx1 11970b1 59850p1 83790cw1 |
Quadratic twists by: -4 -3 5 -7 |