Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360x |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-191760340464000000 = -1 · 210 · 33 · 56 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80376,-22794624] |
[a1,a2,a3,a4,a6] |
Generators |
[2944060:-58927492:4913] |
Generators of the group modulo torsion |
j |
-1389715708/4640625 |
j-invariant |
L |
5.9054010191936 |
L(r)(E,1)/r! |
Ω |
0.13043610290549 |
Real period |
R |
11.318570876004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998596056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680co1 129360dc1 |
Quadratic twists by: -4 -7 |