Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600dc |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-51175800000000 = -1 · 29 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16875,-911250] |
[a1,a2,a3,a4,a6] |
j |
-135000/13 |
j-invariant |
L |
3.3328030403209 |
L(r)(E,1)/r! |
Ω |
0.20830018545232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600dd1 93600m1 93600d1 |
Quadratic twists by: -4 -3 5 |