Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4649618373538E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25971633,47508415137] |
[a1,a2,a3,a4,a6] |
Generators |
[1448613:44594900:729] |
Generators of the group modulo torsion |
j |
257307998572864/19456203375 |
j-invariant |
L |
6.2779654734413 |
L(r)(E,1)/r! |
Ω |
0.10085795039698 |
Real period |
R |
7.7807022417187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hd3 23520v3 16800bt2 |
Quadratic twists by: -4 5 -7 |