Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ba |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-28614517791326208 = -1 · 216 · 318 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56460,9638512] |
[a1,a2,a3,a4,a6] |
j |
-416618810500/598934007 |
j-invariant |
L |
2.6881039263712 |
L(r)(E,1)/r! |
Ω |
0.3360129760854 |
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 |
92736fh1 11592k1 30912v1 |
Quadratic twists by: -4 8 -3 |