Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886ba |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-151470428786417664 = -1 · 213 · 33 · 75 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-620914,188989439] |
[a1,a2,a3,a4,a6] |
Generators |
[457:739:1] |
Generators of the group modulo torsion |
j |
-14943832855786297/85501108224 |
j-invariant |
L |
10.795581383536 |
L(r)(E,1)/r! |
Ω |
0.32675267806031 |
Real period |
R |
1.2707307270033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
966b1 |
Quadratic twists by: -11 |