Atkin-Lehner |
2- 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94860c |
Isogeny class |
Conductor |
94860 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
819072 |
Modular degree for the optimal curve |
Δ |
-246159970517412720 = -1 · 24 · 33 · 5 · 179 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,86247,21789217] |
[a1,a2,a3,a4,a6] |
j |
164237360996153088/569814746568085 |
j-invariant |
L |
2.6556725693223 |
L(r)(E,1)/r! |
Ω |
0.22130605337208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94860e2 |
Quadratic twists by: -3 |