Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155b |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4368 |
Modular degree for the optimal curve |
Δ |
-72214645051395 = -1 · 313 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11+ -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8294,284721] |
[a1,a2,a3,a4,a6] |
Generators |
[20298:1022895:8] |
Generators of the group modulo torsion |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
3.7866014957627 |
L(r)(E,1)/r! |
Ω |
0.40960880343936 |
Real period |
R |
9.2444338695061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18480cv1 73920dh1 3465q1 5775t1 |
Quadratic twists by: -4 8 -3 5 |