Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14415b |
Isogeny class |
Conductor |
14415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
158720 |
Modular degree for the optimal curve |
Δ |
-1338505871883969375 = -1 · 34 · 54 · 319 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-197986,65095214] |
[a1,a2,a3,a4,a6] |
j |
-32461759/50625 |
j-invariant |
L |
0.48649355463316 |
L(r)(E,1)/r! |
Ω |
0.24324677731658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43245l1 72075bb1 14415e1 |
Quadratic twists by: -3 5 -31 |