Atkin-Lehner |
2+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3458c |
Isogeny class |
Conductor |
3458 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-283619292728408 = -1 · 23 · 73 · 133 · 196 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7704,-766674] |
[a1,a2,a3,a4,a6] |
j |
50577058483418375/283619292728408 |
j-invariant |
L |
1.649942576193 |
L(r)(E,1)/r! |
Ω |
0.2749904293655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27664k2 110656o2 31122bd2 86450bb2 |
Quadratic twists by: -4 8 -3 5 |