Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cs |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-302902476800000000 = -1 · 222 · 58 · 75 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11+ 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21208,-26499088] |
[a1,a2,a3,a4,a6] |
j |
-659361145/189314048 |
j-invariant |
L |
1.3722950620967 |
L(r)(E,1)/r! |
Ω |
0.13722950621004 |
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 |
3850k2 123200hq2 30800ba1 |
Quadratic twists by: -4 8 5 |