Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850bp |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
74836406250000 = 24 · 38 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1925105,-1027605103] |
[a1,a2,a3,a4,a6] |
Generators |
[125349:44313850:1] |
Generators of the group modulo torsion |
j |
69269046933912769/6570000 |
j-invariant |
L |
8.1700696327351 |
L(r)(E,1)/r! |
Ω |
0.12816987751286 |
Real period |
R |
7.9680087389442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950k1 6570n1 |
Quadratic twists by: -3 5 |