Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270j |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-4272654027040 = -1 · 25 · 5 · 76 · 613 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8225,-304535] |
[a1,a2,a3,a4,a6] |
Generators |
[112:371:1] |
Generators of the group modulo torsion |
j |
-61536774994304401/4272654027040 |
j-invariant |
L |
4.2672112776581 |
L(r)(E,1)/r! |
Ω |
0.24966099735073 |
Real period |
R |
0.18991135637433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160bc2 38430m2 21350d2 29890q2 |
Quadratic twists by: -4 -3 5 -7 |