Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111720bk |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15805440 |
Modular degree for the optimal curve |
Δ |
-1.488278002533E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46460640,122048917740] |
[a1,a2,a3,a4,a6] |
Generators |
[472705:2554664:125] |
Generators of the group modulo torsion |
j |
-46032132321966895778/61768331513595 |
j-invariant |
L |
5.0454294794801 |
L(r)(E,1)/r! |
Ω |
0.12444259516684 |
Real period |
R |
3.3786860100312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15960o1 |
Quadratic twists by: -7 |