Atkin-Lehner |
3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20025b |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-23466796875 = -1 · 33 · 510 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,300,-7094] |
[a1,a2,a3,a4,a6] |
Generators |
[40:262:1] |
Generators of the group modulo torsion |
j |
7077888/55625 |
j-invariant |
L |
4.3515332198277 |
L(r)(E,1)/r! |
Ω |
0.59611183826864 |
Real period |
R |
1.8249651074144 |
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 |
20025d1 4005a1 |
Quadratic twists by: -3 5 |