Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970cb |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
780 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-1.3865591234459E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -1 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,731398,-1775475399] |
[a1,a2,a3,a4,a6] |
Generators |
[1421:45459:1] |
Generators of the group modulo torsion |
j |
59355100650962613671/1902001541078016000 |
j-invariant |
L |
7.2398737218298 |
L(r)(E,1)/r! |
Ω |
0.073251870318843 |
Real period |
R |
0.12671197809094 |
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 |
95760fb1 3990d1 59850ci1 83790dq1 |
Quadratic twists by: -4 -3 5 -7 |