Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020k |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1076205992400 = 24 · 33 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41748,3282853] |
[a1,a2,a3,a4,a6] |
j |
158328373248/21175 |
j-invariant |
L |
3.3653481837159 |
L(r)(E,1)/r! |
Ω |
0.84133705485257 |
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 |
97020s1 13860h1 |
Quadratic twists by: -3 -7 |