Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30624b |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8572760064 = 212 · 38 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1809,29889] |
[a1,a2,a3,a4,a6] |
j |
159926162752/2092959 |
j-invariant |
L |
1.3098484015924 |
L(r)(E,1)/r! |
Ω |
1.3098484015915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30624d3 61248cc1 91872y3 |
Quadratic twists by: -4 8 -3 |