Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635z |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-19046511321075 = -1 · 39 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6027,107959] |
[a1,a2,a3,a4,a6] |
j |
282300416/222075 |
j-invariant |
L |
7.0667627765928 |
L(r)(E,1)/r! |
Ω |
0.44167265772758 |
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 |
34545o1 14805l1 |
Quadratic twists by: -3 -7 |