Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240de |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1754726400 = -1 · 216 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,2015] |
[a1,a2,a3,a4,a6] |
Generators |
[2:45:1] |
Generators of the group modulo torsion |
j |
-4/26775 |
j-invariant |
L |
7.8172469042141 |
L(r)(E,1)/r! |
Ω |
1.1845963357028 |
Real period |
R |
1.6497701889726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ga1 14280i1 |
Quadratic twists by: -4 8 |