Atkin-Lehner |
2+ 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
10270a |
Isogeny class |
Conductor |
10270 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12768 |
Modular degree for the optimal curve |
Δ |
-67305472000 = -1 · 219 · 53 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 3 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3327,73541] |
[a1,a2,a3,a4,a6] |
j |
-4074610141962361/67305472000 |
j-invariant |
L |
3.3051615336554 |
L(r)(E,1)/r! |
Ω |
1.1017205112185 |
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 |
82160q1 92430bm1 51350u1 |
Quadratic twists by: -4 -3 5 |