Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123981i |
Isogeny class |
Conductor |
123981 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-530130101958954783 = -1 · 312 · 11 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,178596,-19501428] |
[a1,a2,a3,a4,a6] |
Generators |
[2903414928:-77173652297:9663597] |
Generators of the group modulo torsion |
j |
26100282937247/21962862207 |
j-invariant |
L |
2.7699852380013 |
L(r)(E,1)/r! |
Ω |
0.16173147313534 |
Real period |
R |
17.127063845997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998978517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7293c1 |
Quadratic twists by: 17 |