Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638x |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-7531842257602740224 = -1 · 220 · 76 · 175 · 43 |
Discriminant |
Eigenvalues |
2- -3 -1 7- -2 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-305598,147259725] |
[a1,a2,a3,a4,a6] |
Generators |
[1465:-54045:1] [569:12259:1] |
Generators of the group modulo torsion |
j |
-26827837227982881/64019602866176 |
j-invariant |
L |
8.9456183818891 |
L(r)(E,1)/r! |
Ω |
0.20785027940717 |
Real period |
R |
0.10759690108944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1462c1 |
Quadratic twists by: -7 |