Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dp |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-842196556278000 = -1 · 24 · 32 · 53 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-506,1396431] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-2541:1] |
Generators of the group modulo torsion |
j |
-373698304/21923067375 |
j-invariant |
L |
4.927129883192 |
L(r)(E,1)/r! |
Ω |
0.39954473209366 |
Real period |
R |
0.29361572388264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340w1 129360ib1 |
Quadratic twists by: -4 -7 |