Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
118188bb |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-905529683581488 = -1 · 24 · 37 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11760,1362053] |
[a1,a2,a3,a4,a6] |
Generators |
[5551:413658:1] |
Generators of the group modulo torsion |
j |
131072000/659883 |
j-invariant |
L |
6.4199223845393 |
L(r)(E,1)/r! |
Ω |
0.35814995756359 |
Real period |
R |
2.2406544517319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39396d1 16884i1 |
Quadratic twists by: -3 -7 |