Atkin-Lehner |
3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345i |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
747538196625 = 313 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1588959,771331288] |
[a1,a2,a3,a4,a6] |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
3.4810590659146 |
L(r)(E,1)/r! |
Ω |
0.58017651098577 |
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 |
5115b1 76725r1 |
Quadratic twists by: -3 5 |