Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578bp |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
4587520 |
Modular degree for the optimal curve |
Δ |
-1.1045028212753E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-221534375,-1269186118945] |
[a1,a2,a3,a4,a6] |
Generators |
[18637:1027576:1] |
Generators of the group modulo torsion |
j |
-40873063949207311375/3754541776896 |
j-invariant |
L |
8.8117285809777 |
L(r)(E,1)/r! |
Ω |
0.019566217848408 |
Real period |
R |
7.0367845305873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526i1 25578bo1 |
Quadratic twists by: -3 -7 |