Atkin-Lehner |
2- 11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802h |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
57507840 |
Modular degree for the optimal curve |
Δ |
2.3726045019512E+26 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11+ -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-468696931,3834747937955] |
[a1,a2,a3,a4,a6] |
Generators |
[-16137:2690566:1] |
Generators of the group modulo torsion |
j |
471744138156633451637793/9829508936675360768 |
j-invariant |
L |
9.2587263934902 |
L(r)(E,1)/r! |
Ω |
0.05565240325797 |
Real period |
R |
4.1591763154091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099846 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7106d1 |
Quadratic twists by: 17 |