Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bw |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
2.2827875186831E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1116540,-391720262] |
[a1,a2,a3,a4,a6] |
Generators |
[1181722758324869739:89439072399780646621:196924048869339] |
Generators of the group modulo torsion |
j |
1308451928740468777/194033737531392 |
j-invariant |
L |
6.9375564694694 |
L(r)(E,1)/r! |
Ω |
0.14832680027326 |
Real period |
R |
23.386051932979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999437599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442c1 |
Quadratic twists by: -7 |