Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15225x |
Isogeny class |
Conductor |
15225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1451969146728515625 = -1 · 3 · 522 · 7 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122251,60253523] |
[a1,a2,a3,a4,a6] |
j |
-12931706531187361/92926025390625 |
j-invariant |
L |
3.7016624382487 |
L(r)(E,1)/r! |
Ω |
0.23135390239054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45675v3 3045e4 106575s3 |
Quadratic twists by: -3 5 -7 |