Atkin-Lehner |
2+ 3- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94656y |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3796465876992 = -1 · 224 · 33 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1857,-99297] |
[a1,a2,a3,a4,a6] |
Generators |
[15705:161364:125] |
Generators of the group modulo torsion |
j |
-2703045457/14482368 |
j-invariant |
L |
10.689559971846 |
L(r)(E,1)/r! |
Ω |
0.32714855360781 |
Real period |
R |
5.445823641139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94656bk1 2958a1 |
Quadratic twists by: -4 8 |