Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224l |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
596700631296 = 28 · 32 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5412,-146880] |
[a1,a2,a3,a4,a6] |
j |
68491606784848/2330861841 |
j-invariant |
L |
2.2311046135553 |
L(r)(E,1)/r! |
Ω |
0.55777615548751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112u2 |
Quadratic twists by: -4 |