Atkin-Lehner |
2- 3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384cc |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1297920 |
Modular degree for the optimal curve |
Δ |
-27207561977129664 = -1 · 26 · 313 · 13 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -2 13- 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1242891,-532977003] |
[a1,a2,a3,a4,a6] |
Generators |
[21047426961422507690212:428847379101561647805593:14123894529009937391] |
Generators of the group modulo torsion |
j |
-3317746634020925825536/425118155892651 |
j-invariant |
L |
2.6496255061002 |
L(r)(E,1)/r! |
Ω |
0.071492079637924 |
Real period |
R |
37.061804881316 |
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 |
72384dk1 36192l1 |
Quadratic twists by: -4 8 |