Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bk |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-4.1805540119347E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-678305,378389025] |
[a1,a2,a3,a4,a6] |
Generators |
[275:14580:1] |
Generators of the group modulo torsion |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
6.0608058779964 |
L(r)(E,1)/r! |
Ω |
0.18410327384604 |
Real period |
R |
1.6460342477742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680gb1 3990o1 |
Quadratic twists by: -4 8 |