Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bt |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-7394523958976000000 = -1 · 212 · 56 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,176267,127752163] |
[a1,a2,a3,a4,a6] |
j |
9463555063808/115539436859 |
j-invariant |
L |
3.1251689685447 |
L(r)(E,1)/r! |
Ω |
0.17362049825258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1925a3 123200fk3 1232f3 |
Quadratic twists by: -4 8 5 |