Atkin-Lehner |
2+ 3+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14214b |
Isogeny class |
Conductor |
14214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
2806528601088 = 210 · 37 · 233 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 3 -7 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5164,115792] |
[a1,a2,a3,a4,a6] |
Generators |
[24:68:1] |
Generators of the group modulo torsion |
j |
15233995156003273/2806528601088 |
j-invariant |
L |
3.540420219946 |
L(r)(E,1)/r! |
Ω |
0.76634389075082 |
Real period |
R |
2.3099422222034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113712s1 42642o1 |
Quadratic twists by: -4 -3 |