Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330i |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-73524213000000 = -1 · 26 · 33 · 56 · 7 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -7 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10461,24862] |
[a1,a2,a3,a4,a6] |
Generators |
[55:848:1] [191:2904:1] |
Generators of the group modulo torsion |
j |
126620200153748951/73524213000000 |
j-invariant |
L |
5.6143029418609 |
L(r)(E,1)/r! |
Ω |
0.3693837866153 |
Real period |
R |
0.42219735989265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640ba2 45990cj2 76650bt2 107310ba2 |
Quadratic twists by: -4 -3 5 -7 |