Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155f |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
779625 = 34 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16242,-803529] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1429:1] |
Generators of the group modulo torsion |
j |
473897054735271721/779625 |
j-invariant |
L |
2.8369366824155 |
L(r)(E,1)/r! |
Ω |
0.4228985505108 |
Real period |
R |
4.4722099882488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18480dc1 73920cx1 3465k1 5775o1 |
Quadratic twists by: -4 8 -3 5 |