Atkin-Lehner |
2+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30550n |
Isogeny class |
Conductor |
30550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2492057352655000 = -1 · 23 · 54 · 139 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18299,2206248] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:706:1] [214:13071:8] |
Generators of the group modulo torsion |
j |
1084326027134375/3987291764248 |
j-invariant |
L |
3.6892209070818 |
L(r)(E,1)/r! |
Ω |
0.32527562607249 |
Real period |
R |
1.2602033514463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30550p2 |
Quadratic twists by: 5 |