Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bm |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54996480 |
Modular degree for the optimal curve |
Δ |
-2.7414939825926E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-53447275,-810715839875] |
[a1,a2,a3,a4,a6] |
Generators |
[11986127339122188650889505685788645:3127709944145153973652348190692931515:172979998738483573248433215031] |
Generators of the group modulo torsion |
j |
-41663288909209/676457349120 |
j-invariant |
L |
5.0966458720066 |
L(r)(E,1)/r! |
Ω |
0.023614510380744 |
Real period |
R |
53.956717605319 |
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 |
25410cp1 127050fv1 |
Quadratic twists by: 5 -11 |