Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050cj |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-19788561800000000 = -1 · 29 · 58 · 76 · 292 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-521263,-145230219] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
3.1979740619286 |
L(r)(E,1)/r! |
Ω |
0.088832612898318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050m1 1450h1 |
Quadratic twists by: 5 -7 |