Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040f |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
1918440000 = 26 · 32 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1826,-30576] |
[a1,a2,a3,a4,a6] |
Generators |
[-22909848:-7815600:912673] |
Generators of the group modulo torsion |
j |
10526497103296/29975625 |
j-invariant |
L |
7.0798386530673 |
L(r)(E,1)/r! |
Ω |
0.73043046756498 |
Real period |
R |
9.6926935108128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35040k1 70080n2 105120ba1 |
Quadratic twists by: -4 8 -3 |