Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965g |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1539930702555 = -1 · 39 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2385,-40237] |
[a1,a2,a3,a4,a6] |
Generators |
[47:416:1] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
3.5923756791682 |
L(r)(E,1)/r! |
Ω |
0.459868112381 |
Real period |
R |
1.9529380176897 |
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 |
41895q1 69825bl1 1995f1 |
Quadratic twists by: -3 5 -7 |