Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328o |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12468736 = 29 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5299,148470] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:420:1] |
Generators of the group modulo torsion |
j |
93700388088/71 |
j-invariant |
L |
7.0485898014107 |
L(r)(E,1)/r! |
Ω |
1.8702718764515 |
Real period |
R |
3.7687514024164 |
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 |
111328d2 111328p2 |
Quadratic twists by: -4 -7 |