Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040o |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-255441600000 = -1 · 29 · 37 · 55 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6736,-216436] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1080:1] |
Generators of the group modulo torsion |
j |
-66027439914632/498909375 |
j-invariant |
L |
6.0891122090434 |
L(r)(E,1)/r! |
Ω |
0.26337085135773 |
Real period |
R |
3.3028452778128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35040i1 70080bp1 105120k1 |
Quadratic twists by: -4 8 -3 |