Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600u |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1419857000000000 = -1 · 29 · 59 · 175 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -4 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136075,-19405250] |
[a1,a2,a3,a4,a6] |
Generators |
[685:14450:1] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
2.7282968688754 |
L(r)(E,1)/r! |
Ω |
0.12424892013342 |
Real period |
R |
1.0979157267305 |
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 |
13600g1 27200ba1 122400t1 2720a1 |
Quadratic twists by: -4 8 -3 5 |