Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928c |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-314361552863232 = -1 · 215 · 39 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -3 7 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,882576] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3888:1] |
Generators of the group modulo torsion |
j |
-59319000/487403 |
j-invariant |
L |
6.3147781305946 |
L(r)(E,1)/r! |
Ω |
0.46588572188368 |
Real period |
R |
3.3885874506758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928k1 58464c1 116928g1 |
Quadratic twists by: -4 8 -3 |