Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12400p |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-7447750000 = -1 · 24 · 56 · 313 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 6 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,442,2263] |
[a1,a2,a3,a4,a6] |
j |
38112512/29791 |
j-invariant |
L |
0.84868921272764 |
L(r)(E,1)/r! |
Ω |
0.84868921272764 |
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 |
3100e2 49600bs2 111600dt2 496d2 |
Quadratic twists by: -4 8 -3 5 |