Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25850k |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-60747500000 = -1 · 25 · 57 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1188,-20219] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1117:1] |
Generators of the group modulo torsion |
j |
-11867954041/3887840 |
j-invariant |
L |
6.6018290376527 |
L(r)(E,1)/r! |
Ω |
0.39993692130646 |
Real period |
R |
0.8253587860914 |
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 |
5170d1 |
Quadratic twists by: 5 |