Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10010s |
Isogeny class |
Conductor |
10010 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-73262465436160 = -1 · 29 · 5 · 72 · 112 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10129,125881] |
[a1,a2,a3,a4,a6] |
j |
114926649504265871/73262465436160 |
j-invariant |
L |
2.2929381314372 |
L(r)(E,1)/r! |
Ω |
0.38215635523953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
80080x2 90090ce2 50050e2 70070bz2 |
Quadratic twists by: -4 -3 5 -7 |