Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bv |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49766400 |
Modular degree for the optimal curve |
Δ |
4.1227424134402E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-291933569,-1894765956831] |
[a1,a2,a3,a4,a6] |
Generators |
[-220151759613346800737710902462845869617809171:1259782211767922965734784554687757763712385024:24511665727980706760695245834376750039321] |
Generators of the group modulo torsion |
j |
10496291948059005959195233/157270142114265563136 |
j-invariant |
L |
4.5243047400859 |
L(r)(E,1)/r! |
Ω |
0.036557183997179 |
Real period |
R |
61.879831067335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328bg1 26832s1 |
Quadratic twists by: -4 8 |