Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bd |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-660500713222336350 = -1 · 2 · 34 · 52 · 7 · 1312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-335469,84364126] |
[a1,a2,a3,a4,a6] |
Generators |
[638:11088:1] |
Generators of the group modulo torsion |
j |
-865005601073041/136840035150 |
j-invariant |
L |
4.6359998041117 |
L(r)(E,1)/r! |
Ω |
0.27728814536882 |
Real period |
R |
2.0898837010978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ft2 2730bb2 |
Quadratic twists by: -3 13 |