Atkin-Lehner |
2+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39050i |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-1330574080000000000 = -1 · 217 · 510 · 114 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11- 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4271575,3396727125] |
[a1,a2,a3,a4,a6] |
Generators |
[5049:330000:1] |
Generators of the group modulo torsion |
j |
-882648801530029825/136250785792 |
j-invariant |
L |
6.9681925169085 |
L(r)(E,1)/r! |
Ω |
0.26213620921845 |
Real period |
R |
6.6455837383979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050u1 |
Quadratic twists by: 5 |