Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490f |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
1745131315200000000 = 219 · 3 · 58 · 75 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1029863,-397646283] |
[a1,a2,a3,a4,a6] |
j |
714785992034201184721/10326220800000000 |
j-invariant |
L |
1.4999769003042 |
L(r)(E,1)/r! |
Ω |
0.14999769003052 |
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 |
106470fs1 35490ck1 |
Quadratic twists by: -3 13 |