Atkin-Lehner |
19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13357c |
Isogeny class |
Conductor |
13357 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
1177707465221893237 = 198 · 375 |
Discriminant |
Eigenvalues |
0 -3 -2 -1 3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-265696,-7251678] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:6678:1] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
1.3179699180971 |
L(r)(E,1)/r! |
Ω |
0.22706732641312 |
Real period |
R |
0.58043133678303 |
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 |
120213j1 703a1 |
Quadratic twists by: -3 -19 |