Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bh |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
3165161765299426368 = 26 · 312 · 77 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-902728,318462857] |
[a1,a2,a3,a4,a6] |
Generators |
[967:18249:1] |
Generators of the group modulo torsion |
j |
691522382970672625/26903431098432 |
j-invariant |
L |
9.4136079153143 |
L(r)(E,1)/r! |
Ω |
0.25018002061131 |
Real period |
R |
6.2712228342633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422ba1 |
Quadratic twists by: -7 |