Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050bm |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
5572800 |
Modular degree for the optimal curve |
Δ |
-7.2792166342275E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15116701,-131765441452] |
[a1,a2,a3,a4,a6] |
Generators |
[861605:37387954:125] |
Generators of the group modulo torsion |
j |
-977990655709767978985/18634794583622491692 |
j-invariant |
L |
4.8482669595371 |
L(r)(E,1)/r! |
Ω |
0.032065422493317 |
Real period |
R |
7.5599611396787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
84150hc1 28050cc1 |
Quadratic twists by: -3 5 |