Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224b |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1087629312 = -1 · 211 · 3 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-1584] |
[a1,a2,a3,a4,a6] |
j |
-31250/531069 |
j-invariant |
L |
1.4133279227696 |
L(r)(E,1)/r! |
Ω |
0.70666395551875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112k1 |
Quadratic twists by: -4 |