Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960u |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-427887963310083840 = -1 · 28 · 39 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63897,-30851782] |
[a1,a2,a3,a4,a6] |
Generators |
[1657453:-115358328:343] |
Generators of the group modulo torsion |
j |
3286064/48735 |
j-invariant |
L |
6.1932481252584 |
L(r)(E,1)/r! |
Ω |
0.14576548663544 |
Real period |
R |
10.62193833004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320w1 6840o1 |
Quadratic twists by: -3 -19 |