Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680bh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-837708480 = -1 · 26 · 39 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195,855] |
[a1,a2,a3,a4,a6] |
Generators |
[518:11635:343] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
7.061940725742 |
L(r)(E,1)/r! |
Ω |
1.0466391656001 |
Real period |
R |
6.7472543598842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680fx1 1995f1 |
Quadratic twists by: -4 8 |