Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
735a |
Isogeny class |
Conductor |
735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
12353145 = 3 · 5 · 77 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123,-552] |
[a1,a2,a3,a4,a6] |
j |
1771561/105 |
j-invariant |
L |
1.437375972542 |
L(r)(E,1)/r! |
Ω |
1.437375972542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11760ce1 47040df1 2205k1 3675l1 |
Quadratic twists by: -4 8 -3 5 |