Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350m |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
312000 |
Modular degree for the optimal curve |
Δ |
-133998454077228000 = -1 · 25 · 35 · 53 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,127930,-21900] |
[a1,a2,a3,a4,a6] |
j |
13436683/7776 |
j-invariant |
L |
0.39192170510296 |
L(r)(E,1)/r! |
Ω |
0.1959608525514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050fm1 25350df1 25350cd1 |
Quadratic twists by: -3 5 13 |