Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fc |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.8641485507E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-396920008,-3043572972488] |
[a1,a2,a3,a4,a6] |
Generators |
[-50548551143167467516441099027727:278275931405249457416930097834:4394406411665097988809238381] |
Generators of the group modulo torsion |
j |
7347751505995469192/72930375 |
j-invariant |
L |
6.4853527569458 |
L(r)(E,1)/r! |
Ω |
0.033823909762114 |
Real period |
R |
47.934677184176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600df4 23520u4 16800bx3 |
Quadratic twists by: -4 5 -7 |