Atkin-Lehner |
2+ 3+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
110664c |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126464 |
Modular degree for the optimal curve |
Δ |
-98851945968 = -1 · 24 · 33 · 29 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -4 3 1 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3867,-93785] |
[a1,a2,a3,a4,a6] |
Generators |
[74:159:1] |
Generators of the group modulo torsion |
j |
-14803434332928/228823949 |
j-invariant |
L |
5.6785789615979 |
L(r)(E,1)/r! |
Ω |
0.30243156299564 |
Real period |
R |
1.173525621008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999245728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110664k1 |
Quadratic twists by: -3 |