Atkin-Lehner |
2+ 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184z |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-84032256 = -1 · 28 · 3 · 73 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11- -7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,252] |
[a1,a2,a3,a4,a6] |
j |
427694384/328251 |
j-invariant |
L |
2.4609190165023 |
L(r)(E,1)/r! |
Ω |
1.2304594396608 |
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 |
53592r1 |
Quadratic twists by: -4 |