Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520cw |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-70022707200000 = -1 · 214 · 33 · 55 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7445,-474957] |
[a1,a2,a3,a4,a6] |
j |
-2785840267264/4273846875 |
j-invariant |
L |
3.6564960546397 |
L(r)(E,1)/r! |
Ω |
0.24376640364117 |
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 |
35520n1 8880p1 106560ej1 |
Quadratic twists by: -4 8 -3 |