Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660l |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-214732954800 = -1 · 24 · 33 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,588,21609] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-195:1] [0:147:1] |
Generators of the group modulo torsion |
j |
442368/4225 |
j-invariant |
L |
12.045443552742 |
L(r)(E,1)/r! |
Ω |
0.73260344834337 |
Real period |
R |
0.68508206239031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660e1 2340b1 |
Quadratic twists by: -3 -7 |