Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225j |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-6650049701171875 = -1 · 59 · 237 |
Discriminant |
Eigenvalues |
2 2 5- -1 0 2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-242458,-46038307] |
[a1,a2,a3,a4,a6] |
Generators |
[275632873302907179384:13996271272791652246199:102982324899364352] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
12.285834874287 |
L(r)(E,1)/r! |
Ω |
0.10754757944098 |
Real period |
R |
28.559068781805 |
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 |
119025cv1 13225m1 575c1 |
Quadratic twists by: -3 5 -23 |