Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328o |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-110660032 = -1 · 26 · 73 · 712 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329,2352] |
[a1,a2,a3,a4,a6] |
Generators |
[11:8:1] |
Generators of the group modulo torsion |
j |
-179406144/5041 |
j-invariant |
L |
7.0485898014107 |
L(r)(E,1)/r! |
Ω |
1.8702718764515 |
Real period |
R |
1.8843757012082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328d1 111328p1 |
Quadratic twists by: -4 -7 |