Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13300m |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
356400 |
Modular degree for the optimal curve |
Δ |
-2276195644843750000 = -1 · 24 · 510 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -1 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13675625,-19465784375] |
[a1,a2,a3,a4,a6] |
j |
-1810277845777324800/14567652127 |
j-invariant |
L |
2.1197093392371 |
L(r)(E,1)/r! |
Ω |
0.03925387665254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200bl1 119700bi1 13300q1 93100d1 |
Quadratic twists by: -4 -3 5 -7 |