Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608a |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
16675684503552 = 212 · 39 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 2 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7560,-159408] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:108:1] |
Generators of the group modulo torsion |
j |
592704000/206839 |
j-invariant |
L |
3.8720497280224 |
L(r)(E,1)/r! |
Ω |
0.52664476522498 |
Real period |
R |
1.8380747328955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bb1 112608bd1 |
Quadratic twists by: -4 -3 |