Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192b |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-58540805929948608 = -1 · 26 · 34 · 79 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23438,11730384] |
[a1,a2,a3,a4,a6] |
j |
-551368000/22667121 |
j-invariant |
L |
1.169709875171 |
L(r)(E,1)/r! |
Ω |
0.29242749203525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192v1 108192q1 |
Quadratic twists by: -4 -7 |