Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14280ca |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
472122075600 = 24 · 35 · 52 · 75 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1361395,-611852482] |
[a1,a2,a3,a4,a6] |
Generators |
[1451:21675:1] |
Generators of the group modulo torsion |
j |
17440402442527904475136/29507629725 |
j-invariant |
L |
5.8907834322513 |
L(r)(E,1)/r! |
Ω |
0.13976662889904 |
Real period |
R |
4.2147281355027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560bd1 114240r1 42840n1 71400k1 |
Quadratic twists by: -4 8 -3 5 |