Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246t |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-5.291115372367E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,488592,-324467456] |
[a1,a2,a3,a4,a6] |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
0.20207134293333 |
L(r)(E,1)/r! |
Ω |
0.10103567146667 |
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 |
121968el1 5082w1 106722di1 15246bh1 |
Quadratic twists by: -4 -3 -7 -11 |