Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cf |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
-1.0757693279244E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5231135,-4634269243] |
[a1,a2,a3,a4,a6] |
Generators |
[3075:89938:1] |
Generators of the group modulo torsion |
j |
-73853319448242961/501854330880 |
j-invariant |
L |
7.5382267757164 |
L(r)(E,1)/r! |
Ω |
0.049893533723855 |
Real period |
R |
0.3874006341459 |
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 |
76230bf1 127050cq1 25410l1 |
Quadratic twists by: -3 5 -11 |