Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880z |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.8502872864486E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326555157243,-71826349801791958] |
[a1,a2,a3,a4,a6] |
Generators |
[683602703117274222656819496382121844135324318557911481530996624798180010992925779:53733176365227008226505341214143453461989128915168250665605601272339977735207966050:1031685869186479938434838301498228663907707511041460622439509046340748944869] |
Generators of the group modulo torsion |
j |
-1289751009768313401479442908608441/2963943305271752785920000 |
j-invariant |
L |
6.2465369794968 |
L(r)(E,1)/r! |
Ω |
0.0031577690398247 |
Real period |
R |
123.6342988657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7110r2 18960l2 |
Quadratic twists by: -4 -3 |