Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71050k |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-2987652500000 = -1 · 25 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 3 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-667,-83259] |
[a1,a2,a3,a4,a6] |
j |
-42899409/3902240 |
j-invariant |
L |
0.70878683447761 |
L(r)(E,1)/r! |
Ω |
0.35439341700964 |
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 |
14210p1 71050a1 |
Quadratic twists by: 5 -7 |