Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
15040s |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
5315737600000 = 214 · 55 · 473 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -3 7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28305,1839025] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1880:1] |
Generators of the group modulo torsion |
j |
153076524671824/324446875 |
j-invariant |
L |
3.8781558052816 |
L(r)(E,1)/r! |
Ω |
0.76531893597302 |
Real period |
R |
0.084456201264444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040be1 940c1 75200b1 |
Quadratic twists by: -4 8 5 |