Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640bg |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
341978433699840000 = 217 · 3 · 54 · 72 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445816,-110915984] |
[a1,a2,a3,a4,a6] |
j |
2392388417155129849/83490828540000 |
j-invariant |
L |
2.9625161497219 |
L(r)(E,1)/r! |
Ω |
0.18515724847188 |
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 |
15330h4 |
Quadratic twists by: -4 |