Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7035j |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-20355076035 = -1 · 311 · 5 · 73 · 67 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 5 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10505,410996] |
[a1,a2,a3,a4,a6] |
Generators |
[58:13:1] |
Generators of the group modulo torsion |
j |
-128219247395209216/20355076035 |
j-invariant |
L |
4.43183281751 |
L(r)(E,1)/r! |
Ω |
1.1750193356611 |
Real period |
R |
0.34288277671128 |
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 |
112560cc1 21105b1 35175k1 49245e1 |
Quadratic twists by: -4 -3 5 -7 |