Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886bp |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-410510166664249344 = -1 · 215 · 3 · 7 · 1110 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7670011,-8176720111] |
[a1,a2,a3,a4,a6] |
Generators |
[615262:482290705:1] |
Generators of the group modulo torsion |
j |
-28167971010661685449/231722287104 |
j-invariant |
L |
11.358192744981 |
L(r)(E,1)/r! |
Ω |
0.045359718184022 |
Real period |
R |
8.3467543189251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626h1 |
Quadratic twists by: -11 |