Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bz |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-3579555409925040 = -1 · 24 · 38 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32928,1731121] |
[a1,a2,a3,a4,a6] |
j |
8388608/7605 |
j-invariant |
L |
3.4789483179134 |
L(r)(E,1)/r! |
Ω |
0.28991228016784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220bb1 114660z1 |
Quadratic twists by: -3 -7 |