Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725l |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
339076125 = 36 · 53 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- -4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-297,1836] |
[a1,a2,a3,a4,a6] |
Generators |
[24:78:1] |
Generators of the group modulo torsion |
j |
31855013/3721 |
j-invariant |
L |
4.4207352673703 |
L(r)(E,1)/r! |
Ω |
1.6523592399648 |
Real period |
R |
1.3377040417266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1525c2 13725m2 |
Quadratic twists by: -3 5 |