Atkin-Lehner |
3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13725j |
Isogeny class |
Conductor |
13725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-260560546875 = -1 · 37 · 59 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 3 -4 4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1500,10156] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1121:8] |
Generators of the group modulo torsion |
j |
262144/183 |
j-invariant |
L |
4.198090550025 |
L(r)(E,1)/r! |
Ω |
0.62146351610455 |
Real period |
R |
1.6887920373586 |
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 |
4575d1 13725k1 |
Quadratic twists by: -3 5 |