Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240w |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-438681600 = -1 · 214 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,945] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:20:1] [1:32:1] |
Generators of the group modulo torsion |
j |
3286064/26775 |
j-invariant |
L |
9.6583278321419 |
L(r)(E,1)/r! |
Ω |
1.2219375329158 |
Real period |
R |
1.9760273280086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ie1 14280y1 |
Quadratic twists by: -4 8 |