Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800ba |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-180377120000000000 = -1 · 214 · 510 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200208,40013588] |
[a1,a2,a3,a4,a6] |
j |
-22187592025/4509428 |
j-invariant |
L |
0.61370900880385 |
L(r)(E,1)/r! |
Ω |
0.30685450440438 |
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 |
3850t2 123200eo2 30800cs1 |
Quadratic twists by: -4 8 5 |