Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725m |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5298064453125 = 36 · 59 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7430,222072] |
[a1,a2,a3,a4,a6] |
Generators |
[78:296:1] |
Generators of the group modulo torsion |
j |
31855013/3721 |
j-invariant |
L |
3.4975980924439 |
L(r)(E,1)/r! |
Ω |
0.73895751676224 |
Real period |
R |
2.3665758944903 |
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 |
1525b2 13725l2 |
Quadratic twists by: -3 5 |