Atkin-Lehner |
2+ 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920b |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
9339183360 = 28 · 34 · 5 · 133 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150116,22436736] |
[a1,a2,a3,a4,a6] |
Generators |
[220:104:1] [-32:5216:1] |
Generators of the group modulo torsion |
j |
1461394911581736784/36481185 |
j-invariant |
L |
9.1369467554713 |
L(r)(E,1)/r! |
Ω |
0.94242067799622 |
Real period |
R |
3.2317297248339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960o1 |
Quadratic twists by: -4 |