Atkin-Lehner |
2- 3+ 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530v |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
3128721500160000 = 214 · 39 · 54 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37532,777439] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1541:1] |
Generators of the group modulo torsion |
j |
297048042275067/158955520000 |
j-invariant |
L |
10.938051277515 |
L(r)(E,1)/r! |
Ω |
0.39284080341479 |
Real period |
R |
0.49720482839514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73530a1 |
Quadratic twists by: -3 |