Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112bi |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-5311400231481344 = -1 · 212 · 78 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -3 3 7- 11+ 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156016,23977072] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
1.7248689850231 |
L(r)(E,1)/r! |
Ω |
0.4312173116102 |
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 |
7007d1 16016k1 |
Quadratic twists by: -4 -7 |